JEE Physics

StemEZ

Chapter 7

Properties Of Liquids And Solids - all with Video Answers

Educators

Chapter Questions

Problem 757

The potential energy $\mathrm{U}$ between two molecules as a function of the distance $\mathrm{x}$ between them has been shown in the figure. The two molecules are.
(A) Attracted when $\mathrm{x}$ lies between $\mathrm{A} \& \mathrm{~B}$ and are repelled when $x$ lies between $B \& C$.
(B) Attracted when $\mathrm{x}$ lies between $\mathrm{B}$ and $\mathrm{C}$ and are repelled when $\mathrm{x}$ lies between $\mathrm{A}$ and $\mathrm{B}$.
(C) Attracted when they reach $\mathrm{B}$.
(D) Repelled when they reach $\mathrm{B}$.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 838

Two wires are made of the same material and have the same volume. However, wire 1 has cross-sectional area $\mathrm{A}$ and wire 2 has cross-sectional Area $3 \mathrm{~A}$. If the length of wire 1 increases by on applying force $\mathrm{F}$. How much force is needed to stretch wire 2 by same amount.
(A) $\mathrm{F}$
(B) $4 \mathrm{~F}$
(C) $6 \mathrm{~F}$
(D) $9 \mathrm{~F}$

Sachin Rao

Numerade Educator

Problem 839

The increases in length in $\ell$ of a wire of length $L$ by longitudinal stress. Then the stress is proportional to to.........
(A) $\mathrm{L} / \mathrm{C}$
(B) $C / \mathrm{L}$
(C) $\varepsilon \times \varepsilon$
(D) $\ell^{2} \times L$

Sachin Rao

Numerade Educator

Problem 840

The dimensions of four wires of the same material are given below, in which wire the increase in length will be maximum when the same strain is applied.
(A) Length $100 \mathrm{~cm}$, Diameter $1 \mathrm{~mm}$
(B) Length $200 \mathrm{~cm}$, Diameter $2 \mathrm{~mm}$
(C) Length $300 \mathrm{~cm}$, Diameter $3 \mathrm{~mm}$
(D) Length $50 \mathrm{~cm}$, Diameter $0.5 \mathrm{~mm}$

Sachin Rao

Numerade Educator

Problem 841

The young's modulus of a wire of length $\mathrm{L}$ and radius $\mathrm{r}$ is $\mathrm{Y}\left(\mathrm{N} / \mathrm{m}^{2}\right)$. If the length and radius are reduced to $\mathrm{L} / 2$ and $\mathrm{r} / 2$. Then what will be its young's modulus?
(A) $\mathrm{Y} / 2$
(B) $\mathrm{Y}$
(C) $2 \mathrm{Y}$
(D) $4 \mathrm{Y}$

Sachin Rao

Numerade Educator

Problem 842

A beam of metal supported at the two ends is loaded at the centre. The depression at the centre is proportional to $\ldots \ldots \ldots$
(A) $\mathrm{Y}^{2}$
(B) Y
(C) $1 / \mathrm{Y}$
(D) $1 / \mathrm{Y}^{2}$

Kamlesh Goyal

Numerade Educator

Problem 843

A wire is loaded by $6 \mathrm{~kg}$ at its one end, the increase in length is $12 \mathrm{~mm}$. If the radius of the wire is doubled and all other magnitudes are unchanged, then increase in length will be....
(A) $6 \mathrm{~mm}$
(B) $3 \mathrm{~mm}$
(C) $24 \mathrm{~mm}$
(D) $48 \mathrm{~mm}$

Sachin Rao

Numerade Educator

Problem 844

On increasing the length by $0.5 \mathrm{~mm}$ in a steel wire of length $2 \mathrm{~m}$ and area of cross-section $2 \mathrm{~mm}^{2}$ the force required is..... $\left[\mathrm{Y}\right.$ for steel $\left.=2.2 \times 10^{11} \mathrm{~N} / \mathrm{m}\right]$
(A) $1.1 \times 10^{5} \mathrm{~N}$
(B) $1.1 \times 10^{4} \mathrm{~N}$
(C) $1.1 \times 10^{3} \mathrm{~N}$
(D) $1.1 \times 10^{2} \mathrm{~N}$

Sachin Rao

Numerade Educator

Problem 845

A stress of $3.18 \times 10^{8} \mathrm{Nm}^{2}$ is applied to steel rod of length $1 \mathrm{~m}$ along its length. Its young's modulus is $2 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ Then what is the elongation produced in the rod in $\mathrm{mm}$ ?
(A) $3.18$
(B) $6.36$
(C) $5.18$
(D) $1.59$

Sachin Rao

Numerade Educator

Problem 846

Two springs $\mathrm{P} \& \mathrm{Q}$ of force constant $\mathrm{k}_{\mathrm{P}} \& \mathrm{k}_{\mathrm{Q}}\left(\mathrm{k}_{\mathrm{Q}}=[\mathrm{kp} / 2]\right)$
are stretched by applying force equal magnitude. If the energy stored in $\mathrm{Q}$ is $\mathrm{E}$. Then what is the energy stored in $\mathrm{P} ?$
(A) $E$
(B) $2 \mathrm{E}$
(C) $\mathrm{E} / 2$
(D) $\mathrm{E} / 4$

Sachin Rao

Numerade Educator

Problem 847

A force $\mathrm{F}$ is needed to break a copper wire having radius $\mathrm{R}$. The force needed to break a copper wire of radius $2 \mathrm{R}$ will be......
(A) $\mathrm{F} / 2$
(B) $2 \mathrm{~F}$
(C) $4 \mathrm{~F}$
(D) $\mathrm{F} / 4$

Sachin Rao

Numerade Educator

Problem 848

A rubber cord $10 \mathrm{~m}$ long is suspended vertically. How much does it stretch under its own weight. [Density of rubber is $1500\left(\mathrm{~kg} / \mathrm{m}^{3}\right), \mathrm{Y}=5 \times 10^{8}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$,
$\left.\mathrm{g}=10\left(\mathrm{~m} / \mathrm{s}^{2}\right)\right]$
(A) $15 \times 10^{-4} \mathrm{~m}$
(B) $7.5 \times 10^{-4} \mathrm{~m}$
(C) $12 \times 10^{-4} \mathrm{~m}$
(D) $25 \times 10^{-4} \mathrm{~m}$

Sachin Rao

Numerade Educator

Problem 849

The young's modulus of the material of a wire is equal to the......
(A) stress required to increase its length four times
(B) stress required to produce unit strain
(C) strain produced in it
(D) stress acting on it

Sachin Rao

Numerade Educator

Problem 850

If $\mathrm{x}$, longitudinal strain is produced in a wire of young's modulus $\mathrm{y}$ then energy stored in the material of the wire per unit volume is......
(A) $\mathrm{yx}^{2}$
(B) $2 \mathrm{yx}^{2}$
(C) $(1 / 2) \mathrm{y}^{2} \mathrm{x}$
(D) $(1 / 2) \mathrm{yx}^{2}$

Sachin Rao

Numerade Educator

Problem 851

A steel wire of cross-sectional area $3 \times 10^{-6} \mathrm{~m}^{2}$ can with stand a maximum strain of $10^{-3}$ Young's modulus of steel is $2 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$. The maximum mass the wire can hold is..... $\left[\mathrm{g}=10\left(\mathrm{~m} / \mathrm{s}^{2}\right)\right]$
(A) $40 \mathrm{~kg}$
(B) $60 \mathrm{~kg}$
(C) $80 \mathrm{~kg}$
(D) $100 \mathrm{~kg}$

Sachin Rao

Numerade Educator

Problem 852

The young's modulus of a rubber string $8 \mathrm{~cm}$ long and density $1.5\left(\mathrm{~kg} / \mathrm{m}^{3}\right)$ is $5 \times 10^{8}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$. What will be the length increase due to its own weight?
(A) $9.6 \times 10^{-5} \mathrm{~m}$
(B) $9.6 \times 10^{-11} \mathrm{~m}$
(C) $9.6 \times 10^{-3} \mathrm{~m}$
(D) $9.6 \mathrm{~m}$

Sachin Rao

Numerade Educator

Problem 853

$\mathrm{A}$ and $\mathrm{B}$ are two wires. The radius of $\mathrm{A}$ is twice that of $\mathrm{B}$. They are stretched by the same load. Then what is the stress on $\mathrm{B}$ ?
(A) Equal to that on $\mathrm{A}$
(B) Four times that on $\mathrm{A}$
(C) Two times that on $\mathrm{A}$
(D) Half that on $\mathrm{A}$

Sachin Rao

Numerade Educator

Problem 854

If the length of wire is reduced to half then it can hold the $\ldots \ldots \ldots .$ load.
(A) Half
(B) Same
(C) Double
(D) One fourth

Sachin Rao

Numerade Educator

Problem 856

When the length of a wire having cross section area $10^{-6} \mathrm{~m}^{2}$ is streatched by $0.1 \%$ then tension in it is $100 \mathrm{~N}$. Young's modulus of material wire is $\ldots \ldots \ldots$
(A) $10^{12}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(B) $10^{2}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(C) $10^{10}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(D) $10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$

Sachin Rao

Numerade Educator

Problem 857

Two wires of equal lengths are made of the same material wire A has a diameter that is twice as that of wire $B$. If identical weights are suspended from the ends of these wires the increase in length is.........
(A) Four times for wire $\mathrm{A}$ as for wire $\mathrm{B}$.
(B) Twice for wire $\mathrm{A}$ as for wire $\mathrm{B}$.
(C) Half for wire $\mathrm{A}$ as for wire $\mathrm{B}$.
(D) One-fourth for wire $\mathrm{A}$ as for wire $\mathrm{B}$.

Sachin Rao

Numerade Educator

Problem 858

Steel and copper wires of same length are stretched by the same weight one after the other. Young's modulus for steel $=2 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right) .$ Young's modulus for copper $=1.2 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$. Find the ratio increase in length?
(A) $(2 / 5)$
(B) $(3 / 5)$
(C) $(5 / 4)$
(D) $(5 / 2)$

Sachin Rao

Numerade Educator

Problem 859

An area of a cross-section of rubber string is $2 \mathrm{~cm}^{3}$. Its length is doubled when stretched with a linear force of $2 \times 10^{5}$ dynes. What will be young's modulus of the rubber in dynes?
(A) $4 \times 10^{5}$
(B) $1 \times 10^{5}$
(C) $2 \times 10^{5}$
(D) $1 \times 10^{4}$

Sachin Rao

Numerade Educator

Problem 860

A substance breaks down by a stress of $106 \mathrm{~N} / \mathrm{m}^{2}$. If the density of the material of the wire is $3 \times 10^{3}\left(\mathrm{~kg} / \mathrm{m}^{3}\right)$ then the length of wire of the substance which will break under its own weight when suspended vertically is.........
(A) $66.6 \mathrm{~m}$
(B) $60.0 \mathrm{~m}$
(C) $33.3 \mathrm{~m}$
(D) $30.0 \mathrm{~m}$

Sachin Rao

Numerade Educator

Problem 861

The temperature of a wire of length 1 meter and area of cross-sectional section $1 \mathrm{~cm}^{2}$ is increased from $0^{\circ}$ to $100^{\circ} \mathrm{C}$. If the rod is not allowed to increase in length. What will be the force required ? $\left[\alpha=10^{-5} /{ }^{\circ} \mathrm{C}, \mathrm{Y}=10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)\right]$
(A) $10^{3} \mathrm{~N}$
(B) $10^{4} \mathrm{~N}$
(C) $10^{5} \mathrm{~N}$
(D) $10^{9} \mathrm{~N}$

Sachin Rao

Numerade Educator

Problem 862

If longitudinal strain for a wire is $0.03$ and its poisson's ratio is $0.5$, then what is its lateral strain ?
(A) $0.003$
(B) $0.0075$
(C) $0.015$
(D) $0.4$

Sachin Rao

Numerade Educator

Problem 863

An aluminum rod [Young's modulus $=7 \times 10^{9}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ has a breaking strain of $0.2 \%$ what is the minimum cross-sectional area of the rod in order to support a load of $10^{4}$ Newtons?
(A) $1 \times 10^{-2} \mathrm{~m}^{2}$
(B) $1.4 \times 10^{-3} \mathrm{~m}^{2}$
(C) $3.5 \times 10^{-3} \mathrm{~m}^{2}$
(D) $7.1 \times 10^{-4} \mathrm{~m}^{2}$

Sachin Rao

Numerade Educator

Problem 864

Two wires of copper having the length in the ratio $4: 1$ and their radii are as $1: 4$ are stretched by the same force. What will be the ratio of longitudinal strain in the two wires?
(A) $1: 16$
(B) $16: 1$
(C) 1:64
(D) $64: 1$

Sachin Rao

Numerade Educator

Problem 865

A wire elongates by $1 \mathrm{~mm}$ when a load $\mathrm{W}$ is hanged from it. If the wire goes ever a pulley and two weight $\mathrm{W}$ each are hang at the two ends. What will be the elongation of the wire? (in $\mathrm{mm}$ )
(A) $2 \ell$
(B) zero
(C) $C / 2$
(D) $\ell$

Dheeraj Sharma

Numerade Educator

Problem 867

The ratio of diameter of two wires of same material is $n: 1$ the length of wires are $4 \mathrm{~m}$ each. On applying the same load. What will be the increase in length of their wires?
(A) $\mathrm{n}^{2}$ times
(B) n times
(C) $2 \mathrm{n}$ times
(D) None of the above

Sachin Rao

Numerade Educator

Problem 868

Longitudinal stress of $1\left(\mathrm{~N} / \mathrm{mm}^{2}\right)$ is applied on a wire what is the $\%$ increase in length ? $\left[\mathrm{Y}=10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)\right]$
(A) $0.002$
(B) $0.001$
(C) $0.003$
(D) $0.01$

Sachin Rao

Numerade Educator

Problem 869

A steel wire is stretched with a definite load. If the young's modulus of the wire is $\mathrm{Y}$. For decreasing the value of $\mathrm{Y}$.
(A) Radius is to be decreased
(B) Radius is to be increased
(C) Length is to be increased
(D) None of the above

Sachin Rao

Numerade Educator

Problem 870

The area of cross-section of a steel wire is $\left[\mathrm{Y}=2 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)\right]$ is $0.1 \mathrm{~cm}^{2}$, what will be the force
required to double its length ?
(A) $2 \times 10^{12} \mathrm{~N}$
(B) $2 \times 10^{11} \mathrm{~N}$
(C) $2 \times 10^{10} \mathrm{~N}$
(D) $2 \times 10^{6} \mathrm{~N}$

Sachin Rao

Numerade Educator

Problem 871

Two wires $A \& B$ are of same materials. Their lengths in the ratio $1: 2$ and diameters are in the ratio $2: 1$ when stretched by force $\mathrm{F}_{\mathrm{A}}$ and $\mathrm{F}_{\mathrm{B}}$ respectively, they get equal increase in lengths Then the ratio $\left(\mathrm{F}_{\mathrm{A}} / \mathrm{F}_{\mathrm{B}}\right)$ should be $\ldots \ldots \ldots$
(A) $1: 2$
(B) $1: 1$
(C) $2: 1$
(D) $8: 1$

Sachin Rao

Numerade Educator

Problem 873

3: A force of $200 \mathrm{~N}$ is applied at one end of a wire of length $2 \mathrm{~m}$ and having area of cross-section $10^{-2} \mathrm{~cm}^{2}$, the other end of the wire is rigidly fixed. If of linear expansion of the wire $\alpha=8 \times 10^{-6} /{ }^{\circ} \mathrm{C}$ and young's modulus $\mathrm{Y}=2.2 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
and its temperature is increased by $5^{\circ} \mathrm{C}$ then the increase in the tension of the wire will be..........
(A) $4.2 \mathrm{~N}$
(B) $4.4 \mathrm{~N}$
(C) $2.4 \mathrm{~N}$
(D) $8.8 \mathrm{~N}$

Sachin Rao

Numerade Educator

Problem 874

A uniform plank of young's modulus $\mathrm{Y}$ is moved over a smooth horizontal surface by a constant horizontal force $\mathrm{F}$, The area of cross-section of the plank is $\mathrm{A}$. What is the compressive strain on its plank in the direction by the force ?
(A) (F / AY)
(B) $(2 \mathrm{~F} / \mathrm{AY})$
(C) $(1 / 2)(\mathrm{F} / \mathrm{AY})$
(D) (3F / AY)

Sachin Rao

Numerade Educator

Problem 875

The length of a wire is $1.0 \mathrm{~m}$ and the area of cross-section is $1.0 \times 10^{-2} \mathrm{~cm}^{2}$. If the work done for increase in length by $0.2 \mathrm{~cm}$ is $0.4$ joule. Then what is the young's modulus? Of material of the wire ?
(A) $2.0 \times 10^{10}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(B) $4.0 \times 10^{10}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(C) $2.0 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(D) $4.0 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$

Sachin Rao

Numerade Educator

Problem 876

A rubber cord catapult has cross-sectional area $25 \mathrm{~mm}^{2}$ and initial length of cord is $10 \mathrm{~cm} .$ It is stretched to $5 \mathrm{~cm}$ and then released to project a missile of mass $5 \mathrm{gm}$. Taking $\mathrm{Y}_{\text {rubber }}=5 \times 10^{8}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ velocity of projected missile is $\ldots \ldots .$
(A) $20(\mathrm{~m} / \mathrm{s})$
(B) $100(\mathrm{~m} / \mathrm{s})$
(C) $250(\mathrm{~m} / \mathrm{s})$
(D) $200(\mathrm{~m} / \mathrm{s})$

Sachin Rao

Numerade Educator

Problem 877

A wire of cross-section $4 \mathrm{~mm}^{2}$ is stretched by $0.1 \mathrm{~mm}$ by a certain weight. How far (length) will be wire of same material and length but of area $8 \mathrm{~mm}^{2}$ stretched under the action of same force.
(A) $0.05 \mathrm{~mm}$
(B) $0.10 \mathrm{~mm}$
(C) $0.15 \mathrm{~mm}$
(D) $0.20 \mathrm{~mm}$

Sachin Rao

Numerade Educator

Problem 878

According to Hooke's law of elasticity stress is increased the ratio of stress to 1 strain.............
(A) increases
(B) Decreases
(C) becomes zero
(D) Remains constant

Sachin Rao

Numerade Educator

Problem 879

Young's modulus of rubber is $10^{4}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ and area of cross section is $2 \mathrm{~cm}^{2}$ if force of $2 \times 10^{5}$ dyne is applied along its length then its initial length $\mathrm{L}$ becomes..........
(A) $3 \mathrm{~L}$
(B) $4 \mathrm{~L}$
(C) $2 \mathrm{~L}$
(D) None of the above

Sachin Rao

Numerade Educator

Problem 880

A copper wire of length $4 \mathrm{~m}$ and area of cross-section $1.2 \mathrm{~cm}^{2}$ is stretched with a force of $4.8 \times 10^{3} \mathrm{~N}$. If young's modulus for copper is $1.2 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$. What will be the length increase of the wire?
(A) $1.33 \mathrm{~mm}$
(B) $1.33 \mathrm{~cm}$
(C) $2.66 \mathrm{~mm}$
(D) $2.66 \mathrm{~cm}$

Sachin Rao

Numerade Educator

Problem 881

If the interatomic spacing in a steel wire is $3 \AA \&$ $\mathrm{Y}_{\text {Steel }}=20 \times 10^{10}\left(\mathrm{~N} / \mathrm{m}^{2}\right) .$ The force constant $=\ldots \ldots \ldots .$
(A) $6 \times 10^{-2}(\mathrm{~N} / \AA)$
(B) $6 \times 10^{-9}(\mathrm{~N} / \AA)$
(C) $6 \times 10^{-5}(\mathrm{~N} / \AA)$
(D) $6 \times 10^{-5}(\mathrm{~N} / \AA)$

Sachin Rao

Numerade Educator

Problem 882

A wire of length $2 \mathrm{~m}$ is made from $10 \mathrm{~cm}^{3}$ of copper. A force $\mathrm{F}$ is applied so that its length increases by $2 \mathrm{~mm}$. Another wire of length $8 \mathrm{~m}$ is made from the same volume of copper. If the force $\mathrm{F}$ is applied to it, its length will increase by.........
(A) $0.8 \mathrm{~cm}$
(B) $1.6 \mathrm{~cm}$
(C) $2.4 \mathrm{~cm}$
(D) $3.2 \mathrm{~cm}$

Sachin Rao

Numerade Educator

Problem 883

A wire of length $L$ and radius $\mathrm{r}$ is rigidly fixed at one end on stretching the other end of the wire a force $\mathrm{F}$ the increase in its lengths is $\ell$. If another wire of same material but of length $2 \mathrm{~L}$ and radius $2 \mathrm{r}$ is stretched with a force of $2 \mathrm{~F}$, the increase in its length will be...........
(A) $\varepsilon$
(B) $2 \ell$
(C) $\mathrm{C} / 2$
(D) 4

Sachin Rao

Numerade Educator

Problem 884

In steel the young's modulus and the strain at the breaking point are $2 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ and $0.15$ respectively the stress at the breaking point for steel is therefore...........
(A) $1.33 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(B) $1.33 \times 10^{12}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(C) $7.5 \times 10^{-13}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(D) $3 \times 10^{10}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$

Sachin Rao

Numerade Educator

Problem 885

Which of the following statement is correct
(A) Hooke's law is applicable only within elastic limit.
(B) The adiabatic and isothermal elastic constants of a gas area equal.
(C) Young's modulus is dimensionless.
(D) Stress multiplied by strain is equal to stored energy.

Sachin Rao

Numerade Educator

Problem 886

The force required to stretch a steel wire of $1 \mathrm{~cm}^{2}$ cross-section to $1.1$ times its length would be $\left[\mathrm{Y}=2 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)\right]$
(A) $2 \times 10^{6} \mathrm{~N}$
(B) $2 \times 10^{3} \mathrm{~N}$
(C) $2 \times 10^{-6} \mathrm{~N}$
(D) $2 \times 10^{-7} \mathrm{~N}$

Sachin Rao

Numerade Educator

Problem 887

Which one of the following quantities does not have unit of force per unit area........
(A) stress
(B) strain
(C) Young's modulus of elasticity
(D) pressure

Sachin Rao

Numerade Educator

Problem 888

A copper wire and a steel wire of same diameter and length are connected end to end a force is applied, which stretches their combined length by $1 \mathrm{~cm}$, the two wires will have.........
(A) different stresses and strains
(B) the same stress and strain
(C) the same strain but different stresses
(D) the same stress but different strains

Sachin Rao

Numerade Educator

Problem 889

A steel ring of radius $\mathrm{r}$ and cross-section area ' $\mathrm{A}^{\prime}$ is fitted on to a wooden disc of radius $\mathrm{R}(\mathrm{R}>\mathrm{r})$ If young's modulus be $\mathrm{E}$ then what is force with which the steel ring is expanded?
(A) $\mathrm{AE}(\mathrm{R} / \mathrm{r})$
(B) $\mathrm{AE}[(\mathrm{R}-\mathrm{r}) / \mathrm{r}]$
(C) $(\mathrm{E} / \mathrm{A})[(\mathrm{R}-\mathrm{r}) / \mathrm{R}]$
(D) $[\mathrm{Er} / \mathrm{AR}]$

Sachin Rao

Numerade Educator

Problem 890

A wire of diameter $1 \mathrm{~mm}$ breaks under a tension of $100 \mathrm{~N}$. Another wire of same material as that of the first one, but of diameter $2 \mathrm{~mm}$ breaks under a tension of $\ldots \ldots \ldots$
(A) $500 \mathrm{~N}$
(B) $1000 \mathrm{~N}$
(C) $10,000 \mathrm{~N}$
(D) $4000 \mathrm{~N}$

Sachin Rao

Numerade Educator

Problem 891

A fixed volume of iron is drawn into a wire of length $L$. The extension $x$ produced in this wire be a constant force $F$ is propotional to.........
(A) $\left(1 / \mathrm{L}^{2}\right)$
(B) $(1 / \mathrm{L})$
(C) $L^{2}$
(D) $\mathrm{L}$

Sachin Rao

Numerade Educator

Problem 892

On applying a stress of $20 \times 10^{8}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ the length of a perfect elastic wire is doubled. What will be its Young's modulus ?
(A) $40 \times 10^{8}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(B) $20 \times 10^{8}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(C) $10 \times 10^{8}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(D) $5 \times 10^{8}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$

Sachin Rao

Numerade Educator

Problem 893

To keep constant time, watches are fitted with balance wheel made of $\ldots \ldots \ldots$
(A) invar
(B) stainless steel
(C) Tungsten
(D) platinum

Sachin Rao

Numerade Educator

Problem 894

A wire is stretched by $0.01 \mathrm{~m}$ by a certain force $\mathrm{F}$. Another wire of same material whose diameter and length are double to the original wire is stretched by the same force? Then what will be its elongation?
(A) $0.005 \mathrm{~m}$
(B) $0.01 \mathrm{~m}$
(C) $0.02 \mathrm{~m}$
(D) $0.002 \mathrm{~m}$

Sachin Rao

Numerade Educator

Problem 895

The Coefficient of linear expansion of brass \& steel are $\alpha_{1} \&$ $\alpha_{2}$ If we take a brass rod of length $\ell_{1} \&$ steel rod of length $\ell_{2}$ at $0^{\circ} \mathrm{C}$, their difference in length $\left(\ell_{2}-\ell_{1}\right)$ will remain the same at a temperature if $\ldots \ldots \ldots \ldots$
(A) $\alpha_{1} \ell_{2}=\alpha_{2} \ell_{1}$
(B) $\ell_{2} \alpha_{1}=\alpha_{2} \ell_{1}$
(C) $a_{2}^{2} \ell_{1}=a_{2}^{2} \varepsilon_{2}$
(D) $\alpha_{1} \ell_{1}=\alpha_{2} \mathcal{C}_{2}$

Sachin Rao

Numerade Educator

Problem 896

A rod is fixed between two points at $20^{\circ} \mathrm{C}$. The Coefficient of linear expansion of material of rad is $1.1 \times 10^{-5} /{ }^{\circ} \mathrm{C}$ and Young's modulus is $1.2 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$. Find the stress developed in the rod if temperature of rod becomes $10^{\circ} \mathrm{C}$.
(A) $1.32 \times 10^{7}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(B) $1.10 \times 10^{15}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(C) $1.32 \times 10^{8}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(D) $1.10 \times 10^{6}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$

Sachin Rao

Numerade Educator

Problem 897

How much force is required to produce an increase of $0.2 \%$ in the length of a broses wire of diameter $0.6 \mathrm{~mm}$ (Young's modulus for brass $=0.9 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(A) Nearly $17 \mathrm{~N}$
(B) Nearly $34 \mathrm{~N}$
(C) Nearly $51 \mathrm{~N}$
(D) Nearly $68 \mathrm{~N}$

Sachin Rao

Numerade Educator

Problem 898

A $5 \mathrm{~m}$ long aluminum wire $\left[\mathrm{Y}=7 \times 10^{10}\left(\mathrm{~N} / \mathrm{m}^{2}\right)\right]$ of diameter $3 \mathrm{~mm}$ supports a $40 \mathrm{~kg}$ mass. In order to have the same elongation in a copper wire $\mathrm{Y}=12 \times 10^{10}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ of the same length under the same weight, the diameter should now be in $m m \ldots \ldots \ldots \ldots$
(A) $1.75$
(B) $1.5$
(C) $2.5$
(D) $5.0$

Narayan Hari

Numerade Educator

Problem 899

Two similar wires under the same load yield elongation of $0.1 \mathrm{~mm}$ and $0.05 \mathrm{~mm}$ respectively. If the area of Cross-section of the first wire is $4 \mathrm{~mm}^{2}$. Then what is the area of cross - section of the second wire?
(A) $6 \mathrm{~mm}^{2}$
(B) $8 \mathrm{~mm}^{2}$
(C) $10 \mathrm{~mm}^{2}$
(D) $12 \mathrm{~mm}^{2}$

Sachin Rao

Numerade Educator

Problem 900

An iron rod of length $2 \mathrm{~m}$ and cross-section area of $50 \mathrm{~mm}^{2}$ stretched by $0.5 \mathrm{~mm}$, when a mass of $250 \mathrm{~kg}$ is hung from its lower end. What is young's modulus of the iron rod?
(A) $19.6 \times 10^{10}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(B) $19.6 \times 10^{15}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(C) $19.6 \times 10^{18}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(D) $19.6 \times 10^{20}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$

Sachin Rao

Numerade Educator

Problem 901

A load $W$ produces an extension of $1 \mathrm{~mm}$ in a thread of radius $r$. Now if the load is made $4 \mathrm{~W}$ and radius is made $2 \mathrm{r}$ all other things remaining same the extension will becomes..........
(A) $4 \mathrm{~mm}$
(B) $16 \mathrm{~mm}$
(C) $1 \mathrm{~mm}$
(D) $0.25 \mathrm{~mm}$

Sachin Rao

Numerade Educator

Problem 902

A steel wire of $1 \mathrm{~m}$ long and $1 \mathrm{~mm}^{2}$ cross sectional area $1 \mathrm{~s}$ hung from rigid end when weight of $1 \mathrm{~kg}$ is hung from it then change in length will be........... [ $\left.\mathrm{Y}=2 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)\right]$
(A) $0.5 \mathrm{~mm}$
(B) $0.25 \mathrm{~mm}$
(C) $0.05 \mathrm{~mm}$
(D) $5 \mathrm{~mm}$

Sachin Rao

Numerade Educator

Problem 903

Calculate the work done, if wire is loaded by 'mg' weight and the increase in length is ' $^{\prime} \mathrm{'}^{\prime}$ ?
(A) $\mathrm{m}_{g} \ell$
(B) Zero
(C) $[\mathrm{mg} \mathrm{l} / 2]$
(D) $2 \mathrm{mg} \ell$

Sachin Rao

Numerade Educator

Problem 904

Two wires of same diameter of the same material having the length $\ell$ and $2 \ell$. If the force $\mathrm{F}$ is applied on each, what will be the ratio of the work done in the two wires?
(A) $1: 2$
(B) $1: 4$
(C) 2: 1
(D) $1: 1$

Sachin Rao

Numerade Educator

Problem 905

A 5 meter long wire is fixed to the ceiling. A weight of $10 \mathrm{~kg}$ is hung at the lower end and is 1 meter above the four. The wire was elongated by $1 \mathrm{~mm}$. What is the stored in the wire due to stretching ?
(A) Zero
(B) $0.05$ Joule
(C) 100 Joule
(D) 500 Joule

Sachin Rao

Numerade Educator

Problem 906

If the force constant of a wire is $\mathrm{k}$. What is the work done in increasing the length of the wire by $\ell$ ?
(A) $[\mathrm{k} \ell / 2]$
(B) $\mathrm{k} \ell$
(C) $\left[\mathrm{k} \ell^{2} / 2\right]$
(D) $\mathrm{k} \ell^{2}$

Sachin Rao

Numerade Educator

Problem 907

Wire $\mathrm{A}$ and $\mathrm{B}$ are made from the same material. $\mathrm{A}$ has twice the diameter and three times the length of $\mathrm{B}$. If the elastic limits are not reached when each is stretched by the same tension, what is the ratio of energy stored in $\mathrm{A}$ to that in $\mathrm{B}$ ?
(A) $2: 3$
(B) $3: 4$
(C) $3: 2$
(D) $6: 1$

Sachin Rao

Numerade Educator

Problem 908

A wire suspended vertically from one of its ends is stretched by attaching a weight of $200 \mathrm{~N}$ to the lower and. The weight stretches the wire by $1 \mathrm{~mm}$. Then what is the elastic energy stored in the wire?
(A) $0.1 \mathrm{~J}$
(B) $0.2 \mathrm{~J}$
(C) $10 \mathrm{~J}$
(D) $20 \mathrm{~J}$

Sachin Rao

Numerade Educator

Problem 909

A brass rod of cross sectional area $1 \mathrm{~cm}^{2}$ and length $0.2 \mathrm{~m}$ is compressed length wise by a weight of $5 \mathrm{~kg}$. If young's modulus of elasticity of brass is $1 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ and $\mathrm{g}=10\left(\mathrm{~m} / \mathrm{s}^{2}\right)$ Then what will be increase in the energy of rod ?
(A) $10^{-5} \mathrm{~J}$
(B) $2.5 \times 10^{-5} \mathrm{~J}$
(C) $5 \times 10^{-5} \mathrm{~J}$
(D) $2.5 \times 10^{-4} \mathrm{~J}$

Sachin Rao

Numerade Educator

Problem 910

Young's modulus of the material of a wire is $\mathrm{Y}$. On pulling the wire by a force $\mathrm{F}$ the increase in its length is $\mathrm{x}$, what is the potential energy of the stretched wire ?
(A) $(1 / 2) \mathrm{Fx}$
(B) $(1 / 2) \mathrm{Fx}$
(C) $(1 / 2) \mathrm{F} \mathrm{x}^{2}$
(D) None of these

Sachin Rao

Numerade Educator

Problem 911

The work per unit volume to stretch the length by $1 \%$ of a wire with cross-sectional area $1 \mathrm{~mm}^{2}$ will be.......... $\left[\mathrm{y}=9 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)\right]$
(A) $9 \times 10^{11} \mathrm{~J}$
(B) $4.5 \times 10^{7} \mathrm{~J}$
(C) $9 \times 10^{7} \mathrm{~J}$
(D) $4.5 \times 10^{11} \mathrm{~J}$

Sachin Rao

Numerade Educator

Problem 912

A wire of length $50 \mathrm{~cm}$ and cross-sectional area of $1 \mathrm{~mm}^{2}$ is extended by $1 \mathrm{~mm}$ what will be the required work? $\left(\mathrm{Y}=2 \times 10^{10} \mathrm{Nm}^{-2}\right)$
(A) $6 \times 10^{-2} \mathrm{~J}$
(B) $2 \times 10^{-2} \mathrm{~J}$
(C) $4 \times 10^{-2} \mathrm{~J}$
(D) $1 \times 10^{-2} \mathrm{~J}$

Sachin Rao

Numerade Educator

Problem 913

If a spring extends by $\mathrm{x} \mathrm{cm}$ loading then what is the energy stored by the spring ? (If $\mathrm{T}$ is tension in the spring $\& \mathrm{k}$ is spring constant)
(A) $\left[\mathrm{T}^{2} / 2 \mathrm{x}\right]$
(B) $\left[\mathrm{T}^{2} / 2 \mathrm{k}\right]$
(C) $\left[2 \mathrm{x} / \mathrm{T}^{2}\right]$
(D) $\left[2 \mathrm{~T}^{2} / \mathrm{k}\right]$

Sachin Rao

Numerade Educator

Problem 914

On stretching a wire what is the elastic energy stored per unit volume?
(A) $[\mathrm{F} \ell / 2 \mathrm{AL}]$
(B) [FA/2L]
(C) $[\mathrm{FL} / 2 \mathrm{~A}]$
(D) $[\mathrm{FL} / 2]$

Sachin Rao

Numerade Educator

Problem 915

When a force is applied on a wire of uniform cross-sectional area $3 \times 10^{-6} \mathrm{~m}^{2}$ and length $4 \mathrm{~m}$, the increase in length is $1 \mathrm{~mm}$. what will be energy stored in it ? [ $\mathrm{Y}=2 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(A) $62.50 \mathrm{~J}$
(B) $0.177 \mathrm{~J}$
(C) $0.075 \mathrm{~J}$
(D) $0.150 \mathrm{~J}$

Sachin Rao

Numerade Educator

Problem 916

$\mathrm{k}$ is the force constant of a spring what will be the work done in increasing its extension form $\ell_{1}$ to $\ell_{2}$ be ?
(A) $\mathrm{k}\left(\ell-\ell_{2}\right)$
(B) $(\mathrm{k} / 2)\left(\ell_{2}+\ell_{1}\right)$
(C) $\mathrm{k}\left(\ell_{2}^{2}+\ell_{1}^{2}\right)$
(D) $(\mathrm{k} / 2)\left({ }_{2}^{2}-\ell_{1}^{2}\right)$

Sachin Rao

Numerade Educator

Problem 917

When a $4 \mathrm{~kg}$ mass is hung vertically on a light spring that obeys Hook's law, the spring stretches by $2 \mathrm{~cm}$ what will be the work required to be done by an external agent in stretching this spring by $5 \mathrm{~cm}$ ?
(A) $4.900$ Joule
(B) $2.450$ Joule
(C) $0.495$ Joule
(D) $0.245$ Joule

Sachin Rao

Numerade Educator

Problem 918

The isothermal elasticity of a gas is equal to............
(A) Density
(B) Volume
(C) Pressure
(D) Specific heat

Vishal Gupta

Numerade Educator

Problem 919

If the volume of a block of aluminum is decreased, by the pressure (stress) on its surface is increased by (Bulk modulus of $\left.\mathrm{A} \ell=7.5 \times 10^{10} \mathrm{Nm}^{-2}\right)$
(A) $7.5 \times 10^{10}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(B) $7.5 \times 10^{8}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(C) $7.5 \times 10^{6}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(D) $7.5 \times 10^{4}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$

Sachin Rao

Numerade Educator

Problem 920

The specific heat at constant pressure and at constant volume for an ideal gas are $\mathrm{C}_{\mathrm{p}}$ and $\mathrm{C}_{\mathrm{v}}$ and adiabetic $\&$ isothermal elasticities are $E_{\Phi}$ and $E_{\theta}$ respectively. What is the ratio of $\mathrm{E}_{\Phi}$ and $\mathrm{E}_{\theta}$
(A) $\left(\mathrm{C}_{\mathrm{v}} / \mathrm{C}_{\mathrm{p}}\right)$
(B) $\left(\mathrm{C}_{\mathrm{p}} / \mathrm{C}_{\mathrm{v}}\right)$
(C) $\mathrm{C}_{\mathrm{p}} \mathrm{C}_{\mathrm{y}}$
(D) $\left[1 / C_{p} C_{y}\right]$

Dheeraj Sharma

Numerade Educator

Problem 921

What is the ratio of the adiabatic to isothermal elasticities of a triatomic gas ?
(A) $(3 / 4)$
(B) $(4 / 3)$
(C) 1
(D) $(5 / 3)$

Dheeraj Sharma

Numerade Educator

Problem 922

To what depth below the surface of sea should a rubber ball be taken as to decrease its volume by $0.1 \%$ [Take : density of sea water $=1000\left(\mathrm{~kg} / \mathrm{m}^{3}\right)$ Bulk modulus of rubber $=9 \times 10^{8}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$, acceleration due to gravity $\left.=10\left(\mathrm{~m} / \mathrm{s}^{2}\right)\right]$
(A) $9 \mathrm{~m}$
(B) $18 \mathrm{~m}$
(C) $180 \mathrm{~m}$
(D) $90 \mathrm{~m}$

Aman Kumar

Numerade Educator

Problem 923

The compressibility of water $4 \times 10^{-5}$ per unit atmospheric pressure. The decrease in volume of 100 cubic centimeter of water under a pressure of 100 atmosphere will be..........
(A) $4 \times 10^{-5} \mathrm{CC}$
(B) $4 \times 10^{-5} \mathrm{CC}$
(C) $0.025 \mathrm{CC}$
(D) $0.004 \mathrm{CC}$

Sachin Rao

Numerade Educator

Problem 924

If a rubber ball is taken at the depth of $200 \mathrm{~m}$ in a pool, Its volume decreases by $0.1 \%$. If the density of the water is $1 \times 10^{3}\left(\mathrm{~kg} / \mathrm{m}^{3}\right) \& \mathrm{~g}=10\left(\mathrm{~m} / \mathrm{s}^{2}\right)$. Then what will be the
volume elasticity in ?
(A) $10^{8}$
(B) $2 \times 10^{8}$
(C) $10^{9}$
(D) $2 \times 10^{9}$

Aman Kumar

Numerade Educator

Problem 925

For a constant hydraulic stress on an object, the fractional change in the object volume $[\Delta \mathrm{V} / \mathrm{V}]$ and its bulk modulus
(B) are related as............
(A) $(\Delta \mathrm{V} / \mathrm{V}) \alpha \beta$
(B) $(\Delta \mathrm{V} / \mathrm{V}) \alpha \beta^{-1}$
(C) $(\Delta \mathrm{V} / \mathrm{V}) \alpha \beta^{2}$
(D) $(\Delta \mathrm{V} / \mathrm{V}) \alpha \beta^{-2}$

Kamlesh Goyal

Numerade Educator

Problem 926

When a pressure of 100 atmosphere is applied on a spherical ball then its volume reduces to $0.01 \%$. What is the bulk modulus of the material of the rubber in $\left(\right.$ dyne $\left./ \mathrm{cm}^{2}\right)$
(A) $10 \times 10^{12}$
(B) $1 \times 10^{12}$
(C) $100 \times 10^{12}$
(D) $20 \times 10^{12}$

Narayan Hari

Numerade Educator

Problem 927

The pressure applied from all directions on a cube is $\mathrm{P}$. How much its temperature should be raised to maintain the orginal volume ? The volume elasticity, of the cube is $\beta$ and the coefficient of volume expansion is $\alpha$.
(A) $[\mathrm{P} / \alpha \beta]$
(B) $[\mathrm{P\alpha} / \beta]$
(C) $[\beta \mathrm{p} / \alpha]$
(D) $[\alpha \beta / \mathrm{p}]$

Dheeraj Sharma

Numerade Educator

Problem 928

A uniform cube is subjected to volume compression. If each side is decreased by $1 \%$ Then what is bulk strain ?
(A) $0.01$
(B) $0.06$
(C) $0.02$
(D) $0.03$

Narayan Hari

Numerade Educator

Problem 928

A uniform cube is subjected to volume compression. If each side is decreased by $1 \%$ Then what is bulk strain ?
(A) $0.01$
(B) $0.06$
(C) $0.02$
(D) $0.03$

Narayan Hari

Numerade Educator

Problem 929

The ratio of two specific heats of gas $\mathrm{C}_{\mathrm{P}} / \mathrm{C}_{\mathrm{V}}$ for Argon is $1.6$ and for hydrogen is $1.4 .$ Adiabatic elasticity of Argon at pressure P is E. Adiabatic elasticity of hydrogen will also be equal to $\mathrm{E}$ at the pressure.
(A) $\mathrm{P}$
(B) $(7 / 8) \mathrm{P}$
(C) $(8 / 7) \mathrm{P}$
(D) $1.4 \mathrm{P}$

Yuva S

Numerade Educator

Problem 930

What is the isothermal bulk modulus of a gas at atmospheric pressure ?
(A) $1 \mathrm{~mm}$ of $\mathrm{Hg}$
(B) $13.6 \mathrm{~mm}$ of $\mathrm{Hg}$
(C) $1.013 \times 10^{5}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(D) $2.026 \times 10^{5}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$

Sachin Rao

Numerade Educator

Problem 931

The bulk modulus of an ideal gas at constant temperature.....
(A) is equal to its volume $\mathrm{V}$
(B) is equal to $\mathrm{P} / 2$
(C) is equal to its pressure $\mathrm{P}$
(D) cannot be determined

Sachin Rao

Numerade Educator

Problem 932

A material has poisson's ratio $0.50$. If uniform rod of it suffers longitudinal strain of $2 \times 10^{-3}$. Then what is percentage change in volume ?
(A) $0.6$
(B) $0.4$
(C) $0.2$
(D) 0

Dheeraj Sharma

Numerade Educator

Problem 933

There is no change in the volume of a wire due to change in its length on stretching. What is the possion's ratio of the material of the wire $\ldots \ldots \ldots$
(A) $+0.5$
(B) $-0.50$
(C) $0.25$
(D) $-0.25$

Narayan Hari

Numerade Educator

Problem 934

Which statement is true for a metal $\ldots \ldots \ldots \ldots$
(A) $\mathrm{Y}<\eta$
(B) $\mathrm{Y}=\eta$
(C) $\mathrm{Y}>\eta$
(D) $\mathrm{Y}<1 / \eta$

Yingtai Xiao

Numerade Educator

Problem 935

Which of the following relation is true
(A) $3 \mathrm{Y}=\mathrm{k}(1-6)$
(B) $\mathrm{k}=[$ gny $/(\mathrm{y}+\eta)]$
(C) $\sigma=(6 \mathrm{k}+\eta) \mathrm{Y}$
(D) $\sigma=\{(0.5 \mathrm{Y}-\eta) / \eta\}$

Akshaya Rs

Numerade Educator

Problem 936

Two wires $A \& \mathrm{~B}$ of same length and of the same material have the respective radius $\mathrm{r}_{1} \& \mathrm{r}_{2}$ their one end is fixed with a rigid support and at the other end equal twisting couple is applied. Then what will we be the ratio of the angle of twist at the end of $\mathrm{A}$ and the angle of twist at the end of $\mathrm{B}$.
(A) $\left(\mathrm{r}_{1}^{2} / \mathrm{r}_{2}^{2}\right)$
(B) $\left(\mathrm{r}_{2}^{2} / \mathrm{r}_{1}^{2}\right)$
(C) $\left(\mathrm{r}_{2}^{4} / \mathrm{r}_{1}^{4}\right)$
(D) $\left(\mathrm{r}_{1}^{4} / \mathrm{r}_{2}^{4}\right)$

Supratim Pal

Numerade Educator

Problem 937

The poisson's ratio cannot have the value..........
(A) $0.7$
(B) $0.2$
(C) $0.1$
(D) $0.5$

Ajay Singhal

Numerade Educator

Problem 938

The value of poisson's ratio lies between.........
(A) - 1 to $(1 / 2)$
(B) $-(3 / 4)$ to $[(-1) / 2]$
(C) $-(1 / 2)$ to 1
(D) 1 to 2

Ajay Singhal

Numerade Educator

Problem 939

If the young's modulus of the material is 3 times its modulus of rigidity. Then what will be its volume elasticity?
(A) zero
(B) infinity
(C) $2 \times 10^{10}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(D) $3 \times 10^{10}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$

Aman Kumar

Numerade Educator

Problem 940

For a given material the Young's modulus is $2.4$ times that of rigidity modulus. What is its poisson's ratio?
(A) $2.4$
(B) $1.2$
(C) $0.4$
(D) $0.2$

Aman Kumar

Numerade Educator

Problem 941

The lower surface of a cube is fixed. On its upper surface is applied at an angle of 300 from its surface. What will be the change of the type ?
A) shape
(B) size
(C) none
(D) shape \& size

Teresa Fuston

Numerade Educator

Problem 942

The upper end of a wire of radius $4 \mathrm{~mm}$ and length $100 \mathrm{~cm}$ is clamped and its other end is twisted through an angle of $30^{\circ}$. Then what is the angle of shear?
(A) $12^{\circ}$
(B) $0.12^{\circ}$
(C) $1.2^{\circ}$
(D) $0.012^{\circ}$

Mayukh Banik

Numerade Educator

Problem 943

Mark the wrong statement.
(A) Sliding of molecular layer is much easier than compression or expansion.
(B) Reciprocal of bulk modulus is called compressibility.
(C) Twist is difficult in big rod as compared to small rod.
(D) Which is more strong out of hollow and solid cylinder having equal length and mass ?

Ajay Singhal

Numerade Educator

Problem 944

A $2 \mathrm{~m}$ long rod of radius $1 \mathrm{~cm}$ which is fixed from one end is given a twist of $0.8$ radians. What will be the shear strain developed ?
(A) $0.002$
(B) $0.004$
(C) $0.008$
(D) $0.016$

Averell Hause

Carnegie Mellon University

Problem 945

Shearing stress causes change in
(A) length
(B) breadth
(C) shape
(D) volume

Kamlesh Goyal

Numerade Educator

Problem 946

What is the relationship between Young's modulus Y, Bulk modulus $\mathrm{k}$ and modulus of rigidity $\eta$ ?
(A) $\mathrm{Y}=[9 \eta \mathrm{k} /(\eta+3 \mathrm{k})]$
(B) $\mathrm{Y}=[9 \mathrm{Yk} /(\mathrm{y}+3 \mathrm{k})]$
(C) $\mathrm{Y}=[9 \eta \mathrm{k} /(3+\mathrm{k})]$
(D) $\mathrm{Y}=[3 \eta \mathrm{k} /(9 \eta+\mathrm{k})]$

Mirza Aslam Beig

Mirza Aslam Beig

Numerade Educator

Problem 947

What is the possible value of posson's ratio?
(A) 1
(B) $0.9$
(C) $0.8$
(D) $0.4$

Hunza Gilgit

Numerade Educator

Problem 948

The graph shown was obtained from experimental measurements of the period of oscillations $\mathrm{T}$ for different masses $\mathrm{M}$ placed in the scale pan on the lower end of the passing through the origin is that the $\ldots \ldots \ldots \ldots$
(A) Spring did not obey Hooke's law
(B) Amplitude of the oscillations was large
(C) Clock used needed regulating
(D) Mass of the pan was neglected

Dheeraj Sharma

Numerade Educator

Problem 949

A graph is shown between stress and strain for metals. The part in which Hooke's law holds good is
(A) $\mathrm{OA}$
(B) $\mathrm{AB}$
(C) $\mathrm{BC}$
(D) $\mathrm{CD}$

Aman Kumar

Numerade Educator

Problem 950

The strain- stress curves of three wires of different materials are shown in the figure. $\mathrm{P}, \mathrm{Q}$ and $\mathrm{R}$ the elastic limits of the wires the figure shows that
(A) Elasticity of wire $\mathrm{P}$ is maximum.
(B) Elasticity of wire $Q$ is maximum.
(C) Tensile strength of $\mathrm{R}$ is maximum.
(D) none of above

Dheeraj Sharma

Numerade Educator

Problem 951

The diagram shows a force extension graph for a Rubber band consider the following statements.
(I) It will be easier to compress these rubber than expand it.
(II) Rubber does not return to its original length after it is stretched.
(III) The rubber band will get heated if it is stretched and released. Which of these can be deduced from the graph.
(A) III only
(B) II and III (C) I and III (D) I only

Dheeraj Sharma

Numerade Educator

Problem 952

The stress versus strain graph for wires of two material $\mathrm{A} \&$ $B$ are as shown in the figure. If $Y_{A} \& Y_{B}$ are the young's modulus of the materials then
(A) $\mathrm{Y}_{\mathrm{B}}=2 \mathrm{Y}_{\mathrm{A}}$
(B) $\mathrm{Y}_{\mathrm{A}}=\mathrm{Y}_{\mathrm{B}}$
(C) $\mathrm{Y}_{\mathrm{B}}=3 \mathrm{Y}_{\mathrm{A}}$
(D) $\mathrm{Y}_{\mathrm{A}}=3 \mathrm{Y}_{\mathrm{B}}$

Dheeraj Sharma

Numerade Educator

Problem 953

The load versus elongation graph for four wires of the same material is shown in the figure. The thickest wire is represented by the line.
(A) $\mathrm{OD}$
(B) $\mathrm{OC}$
(C) $\mathrm{OB}$
(D) $\mathrm{OA}$

Supratim Pal

Numerade Educator

Problem 954

The adjacent graph shows the extension of a wire of length $1 \mathrm{~m}$ suspended from the top of a roof at one end with the load W connected to the other end. If the cross sectional area of the wire is $10^{-6} \mathrm{~m}^{2}$, calculate the young's modulus of the material of the wire.
(A) $2 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(B) $2 \times 10^{-11}\left(\mathrm{~N} / \mathrm{m}_{2}\right)$
(C) $2 \times 10^{-12}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(D) $2 \times 10^{-12}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$

Sachin Rao

Numerade Educator

Problem 955

The graph is drawn between the applied force $\mathrm{F}$ and the strain ( $\mathrm{x}$ ) for a thin uniform wire the wire behaves as a liquid in the part.
(A) $\mathrm{ab}$
(B) bc
(C) cd
(D) oa

Aman Kumar

Numerade Educator

Problem 956

The graph shows the behavior of a length of wire in the region for which the substance obey's Hooke's law. $P \& Q$ represent.
(A) $\mathrm{P}=$ applied force, $\mathrm{Q}=$ extension
(B) $\mathrm{P}=$ extension, $\mathrm{Q}=$ applied force
(C) $\mathrm{P}=$ extension, $\mathrm{Q}=$ stored elastic energy
(D) $\mathrm{P}=$ stored elastic energy, $\mathrm{Q}=$ extension

Ajay Singhal

Numerade Educator

Problem 958

The value of force constant between the applied elastic force $\mathrm{F}$ and displacement will be
(A) $\sqrt{3}$
(B) $(1 / \sqrt{3})$
(C) $(1 / 2)$
(D) $(\sqrt{3} / 2)$

Sanu Kumar

Numerade Educator

Problem 959

The diagram shows stress $\mathrm{v} / \mathrm{s}$ strain curve for the materials A and B. From the curves we infer that
(A) A is brittle but B is ductile
(B) A is ductile and $\mathrm{B}$ is brittle
(C) Both $\mathrm{A} \& \mathrm{~B}$ are ductile
(D) Both $A \& B$ are brittle

Narayan Hari

Numerade Educator

Problem 960

Which are of the following is the young's modulus (in $\mathrm{N} / \mathrm{m}^{2}$ ) for the wire having the stress strain curve in the figure.
(A) $24 \times 10^{11}$
(B) $8.0 \times 10^{11}$
(C) $10 \times 10^{11}$
(D) $2.0 \times 10^{11}$

Sachin Rao

Numerade Educator

Problem 961

The diagram shows the change $\mathrm{x}$ in the length of a thin uniform wire caused by the application of stress $\mathrm{F}$ at two different temperature $\mathrm{T}_{1} \& \mathrm{~T}_{2}$. The variation
(A) $\mathrm{T}_{1}>\mathrm{T}_{2}$
(B) $\mathrm{T}_{1}<\mathrm{T}_{2}$
(C) $\mathrm{T}_{1}=\mathrm{T}_{2}$
(D) None of these

Narayan Hari

Numerade Educator

Problem 962

The point of maximum and minimum attraction in the curve between potential energy (U) and distance (r) of a diatomic molecules are respectively.
(A) $\mathrm{S}$ and $\mathrm{R}$
(B) $\mathrm{T}$ and $\mathrm{S}$
(C) $\mathrm{R}$ and $\mathrm{S}$
(D) $\mathrm{S}$ and $\mathrm{T}$

Dheeraj Sharma

Numerade Educator

Problem 963

Assertion and Reason:
Read the assertion and reason carefully to mark the correct option out of the option given below
(A) If both assertion and reason are true and reason is the correct explanation of the assertion.
(B) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(C) If assertion is true but reason is false.
(D) If assertion and reason both are false.
Assertion: The stretching of a coil is determined by its shear modulus. Reason: Shear modulus change only shape of a body keeping its dimensions unchanged.
(A) a
(B) $\mathrm{b}$
(C) $\mathrm{c}$
(D) $\mathrm{d}$

Prem Bijarniya

Numerade Educator

Problem 964

Assertion and Reason:
Read the assertion and reason carefully to mark the correct option out of the option given below
(A) If both assertion and reason are true and reason is the correct explanation of the assertion.
(B) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(C) If assertion is true but reason is false.
(D) If assertion and reason both are false.
Assertion : The bridges are declared unsafe after a long use. Reason: Elastic strength of bridges decrease with time
(A) a
(B) $\mathrm{b}$
(C) $c$
(D) $\mathrm{d}$

Prem Bijarniya

Numerade Educator

Problem 965

Assertion and Reason:
Read the assertion and reason carefully to mark the correct option out of the option given below
(A) If both assertion and reason are true and reason is the correct explanation of the assertion.
(B) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(C) If assertion is true but reason is false.
(D) If assertion and reason both are false.
Assertion: Two identical solid balls, one of ivory and the other of wet clay are dropped from the same height on the floor. Both the balls will rise to same height after:
Reason: Ivory and wet-clay have same elasticity.
(A) a
(B) $b$
(C) $c$
(D) $\mathrm{d}$

Raghvendra Singh

Raghvendra Singh

Numerade Educator

Problem 966

Assertion and Reason:
Read the assertion and reason carefully to mark the correct option out of the option given below
(A) If both assertion and reason are true and reason is the correct explanation of the assertion.
(B) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(C) If assertion is true but reason is false.
(D) If assertion and reason both are false.
Assertion: Young's modulus for a perfectly plastic body is zero. Reason: For a perfectly plastic body restoring force is zero.
(A) a
(B) $b$
(C) $\mathrm{c}$
(D) d

Raghvendra Singh

Raghvendra Singh

Numerade Educator

Problem 967

Assertion and Reason:
Read the assertion and reason carefully to mark the correct option out of the option given below
(A) If both assertion and reason are true and reason is the correct explanation of the assertion.
(B) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(C) If assertion is true but reason is false.
(D) If assertion and reason both are false.
Assertion: Identical spring of steel and copper are equally stretched more will be done on the steel spring. Reason: Steel is more elastic than copper.
(A) a
(B) $\mathrm{b}$
(C) $c$
(D) d

Raghvendra Singh

Raghvendra Singh

Numerade Educator

Problem 968

A wire is stretched to double the length which of the following is false in this context?
(A) Its volume increased
(B) Its longitudinal strain is $\mathrm{I}$
(C) Stress = Young's modulus
(D) Stress $=2 \mathrm{x}$ Young's modulus

Sachin Rao

Numerade Educator

Problem 969

Which is the dimensional formula for modulus of rigidity?
(A) $\mathrm{M}_{1} \mathrm{~L}^{1} \mathrm{~T}^{-2}$
(B) $\mathrm{M}^{1} \mathrm{~L}^{-1} \mathrm{~T}^{-2}$
(C) $\mathrm{M}^{1} \mathrm{~L}^{-2} \mathrm{~T}^{-1}$
(D) $\mathrm{M}^{1} \mathrm{~L}^{-2} \mathrm{~T}^{-2}$

Ajay Singhal

Numerade Educator

Problem 970

When more than $20 \mathrm{~kg}$ mass is tied to the end of wire it breaks what is maximum mass that can be tied to the end of a wire of same material with half the radius?
(A) $20 \mathrm{~kg}$
(B) $5 \mathrm{~kg}$
(C) $80 \mathrm{~kg}$
(D) $160 \mathrm{~kg}$

Darmendar Jain

Numerade Educator

Problem 971

When $100 \mathrm{~N}$ tensile force is applied to a rod of $10^{-6} \mathrm{~m}^{2}$ cross-sectional area, its length increases by $1 \%$ so young's modulus of material is $\ldots \ldots \ldots \ldots$
(A) $10^{12} \mathrm{~Pa}$
(B) $10^{11} \mathrm{~Pa}$
(C) $10^{10} \mathrm{~Pa}$
(D) $10^{2} \mathrm{~Pa}$

Mahipal Kumawat

Mahipal Kumawat

Numerade Educator

Problem 972

A composite wire is made by joining ends of two wires of equal dimensions, one of copper and the other of steel. When a weight is sttached to its end the ratio of increase in their length is $\quad \ldots \ldots \ldots . \mathrm{Y}_{\text {Steel }}=(20 / 7) \mathrm{Y}_{\text {Copper }}$
(A) $20: 7$
(B) $10: 7$
(C) $7: 20$
(D) $1: 7$

Yuva S

Numerade Educator

Problem 973

A rubber ball when taken to the bottom of a $100 \mathrm{~m}$ deep take decrease in volume by $1 \%$ Hence, the bulk modulus of rubber is $\ldots \ldots \ldots . . .\left[\mathrm{g}=10\left(\mathrm{~m} / \mathrm{s}^{2}\right)\right]$
(A) $10^{6} \mathrm{~Pa}$
(B) $10^{8} \mathrm{~Pa}$
(C) $10^{7} \mathrm{~Pa}$
(D) $10^{9} \mathrm{~Pa}$

Aman Kumar

Numerade Educator

Problem 974

Young's modulus of a rigid body is
(A) 0
(B) 1
(C) $\infty$
(D) $0.5$

Kamlesh Goyal

Numerade Educator

Problem 975

Pressure on an object increases from $1.01 \times 10^{\circ} \mathrm{Pa}$ to $1.165 \times 10^{5} \mathrm{~Pa}$. He volume decrease by $10 \%$ at constant temperature. Bulk modulus of material is...........
(A) $1.55 \times 10^{5} \mathrm{~Pa}$
(B) $51.2 \times 10^{5} \mathrm{~Pa}$
(C) $102.4 \times 10^{5} \mathrm{~Pa}$
(D) $204.8 \times 10^{5} \mathrm{~Pa}$

Dheeraj Sharma

Numerade Educator

Problem 976

Cross-sectional area o if wire of length $L$ is $A$. Young's modulus of material is $\mathrm{Y}$. If this wire acts as a spring what is the value of force constant?
(A) (YA/L)
(B) (YA/2L)
(C) (2YA/L)
(D) ( $\mathrm{YL} / \mathrm{A})$

Supratim Pal

Numerade Educator

Problem 977

Writing on black board with a pieace of chalk is possible by the property of
(A) Adhesive force
(B) Cohesive force
(C) Surface force
(D) Viscosity

Narayan Hari

Numerade Educator

Problem 978

When there is no external force, the shape of liquid drop is determined by
(A) Surface tension of liquid
(B) Density of Liquid
(C) Viscosity of liquid
(D) Temperature of air only

Akshaya Rs

Numerade Educator

Problem 979

Soap helps in cleaning because
(A) chemicals of soap change
(B) It increase the surface tension of the solution.
(C) It absorbs the dirt.
(D) It lowers the surface tension of the solution

Shazia Naz

Numerade Educator

Problem 980

A beaker of radius $15 \mathrm{~cm}$ is filled with liquid of surface tension $0.075 \mathrm{~N} / \mathrm{m}$. Force across an imaginary diameter on the surface of liquid is
(A) $0.075 \mathrm{~N}$
(B) $1.5 \times 10^{-2} \mathrm{~N}$
(C) $0.225 \mathrm{~N}$
(D) $2.25 \times 10^{-2} \mathrm{~N}$

Mahipal Kumawat

Mahipal Kumawat

Numerade Educator

Problem 981

A square frame of side $\mathrm{L}$ is dipped in a liquid on taking out a membrance is formed if the surface tension of the liquid is $\mathrm{T}$, the force acting on the frame will be.
(A) $2 \mathrm{TL}$
(B) $4 \mathrm{TL}$
(C) $8 \mathrm{TL}$
(D) $10 \mathrm{TL}$

Narayan Hari

Numerade Educator

Problem 982

The force required to separate two glass plates of area $10^{-2} \mathrm{~m}^{2}$ with a film of water $0.05 \mathrm{~mm}$ thick between them is (surface tension of water is $70 \times 10^{-3} \mathrm{~N} / \mathrm{m}$ )
(A) $28 \mathrm{~N}$
(B) $14 \mathrm{~N}$
(C) $50 \mathrm{~N}$
(D) $38 \mathrm{~N}$

VS

Vivek Singh

Numerade Educator

Problem 983

Surface tension of a liquid is found to be influenced by
(A) It increases with the increase of temperature.
(B) Nature of the liquid in contact.
(C) Presence of soap that increase it.
(D) Its variation with the concentration of the liquid.

Narayan Hari

Numerade Educator

Problem 984

A thm metal disc of radius $\mathrm{r}$ floats on water surface $\mathrm{B}$ and bends the surface down wards along the perimeter making an angle $\mathrm{Q}$ with vertical edge of the disc. If the disc displaces a weight of water $\mathrm{w}$ and surface tension of water is $\mathrm{T}$, then the weight at metal $\mathrm{d}$ is
(A) $2 \pi \mathrm{rT}+\mathrm{w}$
(B) $2 \pi r T \cos \theta-w$
(C) $2 \pi r T \cos \theta+w$
(D) $\mathrm{w}=2 \pi \mathrm{r} \mathrm{T} \cos \theta$

RZ

Rubeena Zulfiqar

Numerade Educator

Problem 985

A thin liquid film formed between a u-shaped wire and a light slider supports a weight of $1.5 \times 10^{-2} \mathrm{~N}$ (see figure). The length of the slider is $30 \mathrm{~cm}$ and its weight negligible. The surface tension of the liquid film is.
(A) $0.0125 \mathrm{Nm}^{-1}$
(B) $0.1 \mathrm{Nm}^{-1}$
(C) $0.05 \mathrm{Nm}^{-1}$
(D) $0.025 \mathrm{Nm}^{-1}$

Akshaya Rs

Numerade Educator

Problem 986

Radius of a soap bubble is $\mathrm{r}^{\prime}$, surface tension of soap solution is $\mathrm{T}$. Then without increasing the temperature how much energy will be needed to double its radius.
(A) $4 \pi r^{2} T$
(B) $2 \pi r^{2} T$
(C) $12 \pi r^{2} T$
(D) $24 \pi r^{2} T$

Mahipal Kumawat

Mahipal Kumawat

Numerade Educator

Problem 987

The amount of work done in blowing a soap bubble such that its diameter increases from $d$ to $D$ is $(T=$ Surface tension of solution)
(A) $4 \pi\left(\mathrm{D}^{2}-\mathrm{d}^{2}\right) \mathrm{T}$
(B) $8 \pi\left(\mathrm{D}^{2}-\mathrm{d}^{2}\right) \mathrm{T}$
(C) $\pi\left(\mathrm{D}^{2}-\mathrm{d}^{2}\right) \mathrm{T}$
(D) $2 \pi\left(\mathrm{D}^{2}-\mathrm{d}^{2}\right) \mathrm{T}$

RZ

Rubeena Zulfiqar

Numerade Educator

Problem 988

A soap bubble of radius $r$ is blown up to form a bubble of radius $2 \mathrm{r}$ under isothermal conditions if the $\mathrm{T}$ is the surface tension of soap solution the energy spent in the slowing is.
(A) $3 \pi \mathrm{Tr}^{2}$
(B) $6 \pi \mathrm{Tr}^{2}$
(C) $12 \pi \mathrm{Tr}^{2}$
(D) $24 \pi \mathrm{Tr}^{2}$

Saman Zulfiqar

Numerade Educator

Problem 989

The surface tension of a liquid is $5 \mathrm{~N} / \mathrm{m}$. If a thin film of the area $0.02 \mathrm{~m}^{2}$ is formed on a loop, then its surface energy will be
(A) $5 \times 10^{-2} \mathrm{~J}$
(B) $2.5 \times 10^{-2} \mathrm{~J}$
(C) $2 \times 10^{-1} \mathrm{~J}$
(D) $5 \times 10^{-1} \mathrm{~J}$

Mahipal Kumawat

Mahipal Kumawat

Numerade Educator

Problem 990

A frame made of a metallic wire enclosing $\mathrm{O}$ surface area $\mathrm{A}$ is covered with a soap film. If the area of the frame metallic wire is reduced by $50 \%$ the energy of the soap film will be changed by
(A) $100 \%$
(B) $75 \%$
(C) $50 \%$
(D) $25 \%$

RZ

Rubeena Zulfiqar

Numerade Educator

Problem 991

Two small drops mercury, each of radius $\mathrm{r}$, coalesces the form a single large drop. The ratio of the total surface energies before and after the change is.
(A) $1: 2^{(1 / 2)}$
(B) $2^{(1 / 3)}: 1$
(C) 2: 1
(D) $1: 2$

Saman Zulfiqar

Numerade Educator

Problem 992

The work done in blowing a soap bubble of $10 \mathrm{~cm}$ radius is [surface tension of soap solution is $\{(3 / 100) \mathrm{N} / \mathrm{m}\}$ ]
(A) $75.36 \times 10^{-4}$ Joule
(B) $37.68 \times 10^{-4}$ Joule
(C) $150.72 \times 10^{-4}$ Joule
(D) $75.36$ Joule

Saman Zulfiqar

Numerade Educator

Problem 993

The work done increasing the size of a soap film from $10 \mathrm{~cm} \times 6 \mathrm{~cm}$ to $10 \mathrm{~cm} \times 11 \mathrm{~cm}$ is $3 \times 10^{-4}$ Joule. The
surface tension of the film is
(A) $1.5 \times 10^{-2} \mathrm{~N} / \mathrm{m}$
(B) $3.0 \times 10^{-2} \mathrm{~N} / \mathrm{m}$
(C) $6.0 \times 10^{-2} \mathrm{~N} / \mathrm{m}$
(D) $11.0 \times 10^{-2} \mathrm{~N} / \mathrm{m}$

Saman Zulfiqar

Numerade Educator

Problem 994

A big drop of radius $R$ is formed by 1000 small droplets of coater then the radius of small drop is
(A) $(\mathrm{R} / 2)$
(B) $(\mathrm{R} / 5)$
(C) $(\mathrm{R} / 6)$
(D) $(\mathrm{R} / 10)$

Mirza Aslam Beig

Mirza Aslam Beig

Numerade Educator

Problem 995

8000 identical water drops are combined to form a bigdrop. Then the ratio of the final surface energy to the initial surface energy of all the drops together is
(A) $1: 10$
(B) $1: 15$
(C) $1: 20$
(D) $1: 25$

RZ

Rubeena Zulfiqar

Numerade Educator

Problem 996

The relation between surface tension T. Surface area $\mathrm{A}$ and surface energy $\mathrm{E}$ is given by.
(A) $\mathrm{T}=(\mathrm{E} / \mathrm{A})$
(B) $\mathrm{T}=\mathrm{EA}$
(C) $\mathrm{E}=(\mathrm{T} / \mathrm{A})$
(D) $\mathrm{T}=(\mathrm{A} / \mathrm{E})$

Prem Bijarniya

Numerade Educator

Problem 997

If a coater drop is kept between two glass plates then its shape is(D) None of these

Suman Saurav Thakur

Suman Saurav Thakur

Numerade Educator

Problem 998

A liquid wets a solid completely. The meniscus of the liquid in a sufficiently long tube is
(A) Flat
(B) Concave
(C) Convex
(D) Cylindrical

Suman Saurav Thakur

Suman Saurav Thakur

Numerade Educator

Problem 999

When two soap bubbles of radius $\mathrm{r}_{1}$ and $\mathrm{r}_{2}\left(\mathrm{r}_{2}>\mathrm{r}_{1}\right)$ coalesce, the radius of curvature of common surface is...........
(A) $r_{2}-r_{1}$
(B) $\left[\left(r_{2}-r_{1}\right) /\left(r_{1} r_{2}\right)\right]$
(C) $\left[\left(\mathrm{r}_{1} \mathrm{r}_{2}\right) /\left(\mathrm{r}_{2}-\mathrm{r}_{1}\right)\right]$
(D) $\mathrm{r}_{2}+\mathrm{r}_{1}$

RZ

Rubeena Zulfiqar

Numerade Educator

Problem 1000

The excess of pressure inside a soap bubble than that of the outer pressure is
(A) $(2 \mathrm{~T} / \mathrm{r})$
(B) $(4 \mathrm{~T} / \mathrm{r})$
(C) $(\mathrm{T} / 2 \mathrm{r})$
(D) $(\mathrm{T} / \mathrm{r})$

Narayan Hari

Numerade Educator

Problem 1001

The radii of two soap bubbles are $\mathrm{r}_{1}$ and $\mathrm{r}_{2} .$ In isothermal conditions two meet together is vacuum Then the radius of the resultant bubble is given by
(A) $\mathrm{R}=\left[\left(\mathrm{r}_{1}+\mathrm{r}_{2}\right) / 2\right]$
(B) $\mathrm{R}=\mathrm{r}_{1}\left(\mathrm{r}_{1}+\mathrm{r}_{2}+\mathrm{r}_{3}\right)$
(C) $\mathrm{R}^{2}=\mathrm{r}_{1}^{2}+\mathrm{r}_{2}^{2}$
(D) $\mathrm{R}=\mathrm{r}_{1}+\mathrm{r}_{2}$

Saman Zulfiqar

Numerade Educator

Problem 1002

A spherical drop of coater has radius $1 \mathrm{~mm}$ if surface tension of contex is $70 \times 10^{-3} \mathrm{~N} / \mathrm{m}$ difference of pressures between inside and outside of the spherical drop is
(A) $35 \mathrm{~N} / \mathrm{m}^{2}$
(B) $70 \mathrm{~N} / \mathrm{m}^{2}$
(C) $140 \mathrm{~N} / \mathrm{m}^{2}$
(D) zero

Saman Zulfiqar

Numerade Educator

Problem 1003

In capillary pressure below the curved surface at water will be
(A) Equal to atmospheric
(B) Equal to upper side pressure
(C) More than upper side pressure
(D) Lesser than upper side pressure

Vysakh M

Numerade Educator

Problem 1004

Two bubbles $\mathrm{A}$ and $\mathrm{B}(\mathrm{A}>\mathrm{B})$ are joined through a narrow tube than
(A) The size of A will increase
(B) The size of B will increase
(C) The size of B will increase until then pressure equals
(D) None of these

Mahipal Kumawat

Mahipal Kumawat

Numerade Educator

Problem 1005

If the excess pressure inside a soap bubble is balanced by oil column of height $2 \mathrm{~mm}$ then the surface tension of soap solution will be. $(\mathrm{r}=1 \mathrm{~cm}$ and density $\mathrm{d}=0.8 \mathrm{gm} / \mathrm{cc})$
(A) $3.9 \mathrm{~N} / \mathrm{m}$
(B) $3.9 \times 10^{-2} \mathrm{~N} / \mathrm{m}$
(C) $3.9 \times 10^{-3} \mathrm{~N} / \mathrm{m}$
(D) $3.9 \times 10^{-1} \mathrm{~N} / \mathrm{m}$

Akshaya Rs

Numerade Educator

Problem 1006

A capillary tube of radius $\mathrm{R}$ is immersed in water and water rises in it to a height $\mathrm{H}$. Mass of water in the capillary tube is
M. If the radius of the tube is doubled. Mass of water that will rise in the capillary tube will now be
(A) $\mathrm{M}$
(B) $2 \mathrm{M}$
(C) $(\mathrm{M} / 2)$
(D) $4 \mathrm{M}$

Saman Zulfiqar

Numerade Educator

Problem 1007

A vesel whose bottom has round holes with diameter of $0.1 \mathrm{~mm}$ is filled with water. The maximum height to which the water can be filled without leakage is (S.T. of water $=[(75$ dyne $\left.\} / \mathrm{cm}], \mathrm{g}=1000 \mathrm{~m} / \mathrm{s}^{2}\right)$
(A) $100 \mathrm{~cm}$
(B) $75 \mathrm{~cm}$
(C) $50 \mathrm{~cm}$
(D) $30 \mathrm{~cm}$

Mahendra K

Numerade Educator

Problem 1008

The correct relation is
(A) $\mathrm{r}=[\{2 \mathrm{~T} \cos \theta\} /\{\mathrm{hdg}\}]$
(B) $\mathrm{r}=[\{\mathrm{hdg}\} /\{2 \mathrm{~T} \cos \theta\}]$
(C) $\mathrm{r}=[\{2 \mathrm{~T} \operatorname{dgh}\} /\{\cos \theta\}]$
(D) $\mathrm{r}=[\{\mathrm{T} \cos \theta\} /\{2 \mathrm{hdg}\}]$

Matthew Allcock

Matthew Allcock

Numerade Educator

Problem 1009

In a capillary tube water rises by $1.2 \mathrm{~mm}$. The height of water that will rise in another capillary tube having half the radius of the first is
(A) $1.2 \mathrm{~mm}$
(B) $2.4 \mathrm{~mm}$
(C) $0.6 \mathrm{~mm}$
(D) $0.4 \mathrm{~mm}$

Narayan Hari

Numerade Educator

Problem 1010

Water raises in a vertical capillary tube upto a height of $2.0$ $\mathrm{cm}$. If tube is inclined at an angle of $60^{\circ}$ with the vertical then the what length the water will rise in the tube.
(A) $2.0 \mathrm{~cm}$
(B) $4.0 \mathrm{~cm}$
(C) $(4 / \sqrt{3}) \mathrm{cm}$
(D) $2 \sqrt{2} \mathrm{~cm}$

Saman Zulfiqar

Numerade Educator

Problem 1011

The lower end of a glass capillary tube is dipped in water rises to a height of $8 \mathrm{~cm}$ the tube is then broken at a height of $6 \mathrm{~cm}$. The height of water column and angled as contact will be
(A) $6 \mathrm{~cm} \cdot \sin ^{-1}(3 / 4)$
(B) $6 \mathrm{~cm} \cdot \sin ^{-1}(4 / 5)$
(C) $6 \mathrm{~cm} \cdot \cos ^{-1}(3 / 4)$
(D) $6 \mathrm{~cm} \cdot \sin ^{-1}(1 / 2)$

Mahipal Kumawat

Mahipal Kumawat

Numerade Educator

Problem 1012

A large number of water drops each of radius $r$ combine to have a drop of radius $\mathrm{R}$. If the surface tension is $\mathrm{T}$ and the mechanical equivalent at heat is $\mathrm{J}$ then the rise in temperature will be
(A) $(2 \mathrm{~T} / \mathrm{rJ})$
(B) $(3 \mathrm{~T} / \mathrm{RJ})$
(C) $(3 \mathrm{~T} / \mathrm{J})\{(1 / \mathrm{r})-(1 / \mathrm{R})\}$
(D) $(2 \mathrm{~T} / \mathrm{J})\{(1 / \mathrm{r})-(1 / \mathrm{R})\}$

Dheeraj Sharma

Numerade Educator

Problem 1013

The correct curve between the height or depression $\mathrm{h}$ of liquid in a capillary tube and its radius is

James Kiss

Numerade Educator

Problem 1014

A soap bubble is blown with the help of a mechanical pump at the mouth-of a tube the pump produces a certain increase per minit in the volume of the bubble irrespective of its internal pressure the graph between the pressure inside the soap bubble and time t will be

Dheeraj Sharma

Numerade Educator

Problem 1015

Which graph present the variation of surface tension with temperature over small temperature ranges for coater.

Akshaya Rs

Numerade Educator

Problem 1016

When liquid medicine of density $\mathrm{S}$ is to be put in the eye. It is done with the help of a dropper as the bulb on the top of the dropper is pressed a drop forms at the opening of the dropper we wish to estimate the size of the drop. We dirst assume that the drop formed at the opening is spherical because the requires a minimum increase in its surface energy. To determine the size we calculate the net vertical force due to surface tension $\mathrm{T}$ when the radius of the drop is $\mathrm{R}$. When this force becomes smaller than the weight of the drop the drop gets detached from the dropper.

If the radius of the opening of the dropper is $\mathrm{r}$; the vertical force due to the surface tension on the drop of radius $R$. (assuming $\mathrm{r} \ll \mathrm{R})$ is
(A) $2 \pi \mathrm{T}$
(B) $2 \pi \mathrm{RT}$
(C) $\left[\left\{2 \pi \mathrm{r}^{2} \mathrm{~T}\right\} / \mathrm{R}\right]$
(D) $\left[\left\{2 \pi \mathrm{R}^{2} \mathrm{~T}\right\} / \mathrm{r}\right]$

VS

Vivek Singh

Numerade Educator

Problem 1017

When liquid medicine of density $\mathrm{S}$ is to be put in the eye. It is done with the help of a dropper as the bulb on the top of the dropper is pressed a drop forms at the opening of the dropper we wish to estimate the size of the drop. We dirst assume that the drop formed at the opening is spherical because the requires a minimum increase in its surface energy. To determine the size we calculate the net vertical force due to surface tension $\mathrm{T}$ when the radius of the drop is $\mathrm{R}$. When this force becomes smaller than the weight of the drop the drop gets detached from the dropper.
If $\mathrm{r}=5 \times 10^{-4} \mathrm{~m}, \mathrm{p}=10^{3} \mathrm{~kg} \mathrm{~m}^{-3}=10 \mathrm{~ms}^{-2} \mathrm{~T}=0.11 \mathrm{~N} \mathrm{~m}^{-1}$ the
radius of the drop when it detaches from the dropper is approximately
(A) $1.4 \times 10^{-3} \mathrm{~m}$
(B) $3.3 \times 10^{-3} \mathrm{~m}$
(C) $2.0 \times 10^{-3} \mathrm{~m}$
(D) $4.1 \times 10^{-3} \mathrm{~m}$

Prachi Joshi

Numerade Educator

Problem 1018

When liquid medicine of density $\mathrm{S}$ is to be put in the eye. It is done with the help of a dropper as the bulb on the top of the dropper is pressed a drop forms at the opening of the dropper we wish to estimate the size of the drop. We dirst assume that the drop formed at the opening is spherical because the requires a minimum increase in its surface energy. To determine the size we calculate the net vertical force due to surface tension $\mathrm{T}$ when the radius of the drop is $\mathrm{R}$. When this force becomes smaller than the weight of the drop the drop gets detached from the dropper.
After the drop detaches its surface energy is
(A) $1.4 \times 10^{-6} \mathrm{~J}$
(B) $2.7 \times 10^{-6} \mathrm{~J}$
(C) $5.4 \times 10^{-6} \mathrm{~J}$
(D) $8.1 \times 10^{-6} \mathrm{~J}$

Prachi Joshi

Numerade Educator

Problem 1019

Read the assertion and reason carefully and mark the correct option given below.
(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(c) If assertion is true but reason is false.
(d) If the assertion and reason both are false.
(e) if assertion is false but reason is true.
Assertion: It is better to wash the clothes in cold soap solution. Reason: The surface tension of cold solution is more then the surface tension of hot solution.
(A) a
(B) $b$
(C) $\mathrm{c}$
(D) $\mathrm{d}$
(E) e

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1020

Read the assertion and reason carefully and mark the correct option given below.
(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(c) If assertion is true but reason is false.
(d) If the assertion and reason both are false.
Assertion: When height of a tube is less then liquid rise in the capillary tube the liquid does not overflow. Reason: Product of radius of meniscus and height of liquid incapilling tube always remains constant.
(A) a
(B) $b$
(C) c
(D) d

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1021

Read the assertion and reason carefully and mark the correct option given below.
(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(c) If assertion is true but reason is false.
(d) If the assertion and reason both are false.
(e) if assertion is false but reason is true.
Assertion: The impurities always decrease the surface tension of a liquid. Reason: The change in surface tension of the liquid depends upon the degree of cont amination of the impurity.
(A) a
(B) $b$
$\begin{array}{lll}\text { (C) } c & \text { (D) } d & \text { (E) }\end{array}$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1022

Read the assertion and reason carefully and mark the correct option given below.
(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(c) If assertion is true but reason is false.
(d) If the assertion and reason both are false.
Assertion: The concept of surface tension is held only for liquids. Reason: Surface tension does not hold for gases.
(A) a
(B) $b$
(C) $\mathrm{c}$
(D) $\mathrm{d}$

Raghvendra Singh

Raghvendra Singh

Numerade Educator

Problem 1023

Read the assertion and reason carefully and mark the correct option given below.
(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(c) If assertion is true but reason is false.
(d) If the assertion and reason both are false.
Assertion: The water rises higher in a capillary tube of small diametre than in the capillary tube of large diameter. Reason: Height through which liquid rises in a capillary tube is inversely proportional to the diameter of the capillary tube.
(A) a
(B) b
(C) c
(D) d

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1024

Read the assertion and reason carefully and mark the correct option given below.
(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(c) If assertion is true but reason is false.
(d) If the assertion and reason both are false.
Assertion: Tiny drops of liquid resist deforming forces better than bigger drops. Reason: Excess pressure inside a drop is directly proportional to surface tension.
(A) a
(B) $b$
(C)
(D) d

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1025

When a large bubble rises from the bottom of a lake to the surface. Its radius double. It atmospheric pressure in equal to that of column of column of water height $\mathrm{H}$ then the depth of Lake is
(A) $\mathrm{H}$
(B) $2 \mathrm{H}$
(C) $7 \mathrm{H}$
(D) $8 \mathrm{H}$

Mahipal Kumawat

Mahipal Kumawat

Numerade Educator

Problem 1026

A triangular lamina of area $\mathrm{A}$ and, height $\mathrm{h}$ is immersed in a liquid of density $\mathrm{S}$ in a vertical plane with its base on the surface of the liquid. The thrust on lamina is
(A) $(1 / 2)$ Apgh
(B) $(1 / 3)$ Apgh
(C) $(1 / 6)$ Apgh
(D) $(1 / 3)$ Apgh

Tyler Gaona

Numerade Educator

Problem 1027

The density $\rho$ of coater of bulk modulus $B$ at a depth $y$ in the ocean is related to the density at surface $\rho_{0}$ by the relation.
(A) $\rho=\rho_{0}\left[1-\left\{\left(\rho_{0} \mathrm{gy}\right\} / \mathrm{B}\right\}\right]$
(B) $\rho=\rho_{0}\left[1+\left\{\left(\rho_{0} \mathrm{gy}\right\} / \mathrm{B}\right\}\right]$
(C) $\rho=\rho_{0}\left[1+\left\{\left(\rho_{0} \mathrm{gyh}\right\} / \mathrm{B}\right\}\right]$
(D) $\rho=\rho_{0}\left[1-\left\{\mathrm{B} /\left(\rho_{0} \mathrm{~g} \mathrm{y}\right\}\right]\right.$

RZ

Rubeena Zulfiqar

Numerade Educator

Problem 1028

By sucking through a straw, a student can reduce the pressure in his lungs to $750 \mathrm{~mm}$ of $\mathrm{Hg}$ (density $\left.=13.6\left(\mathrm{gm} / \mathrm{cm}^{2}\right)\right)$ using the straw, he can drink water from $\mathrm{a}$ glass up to a maximum depth of
(A) $10 \mathrm{~cm}$
(B) $75 \mathrm{~cm}$
(C) $13.6 \mathrm{~cm}$
(D) $1.36 \mathrm{~cm}$

Suman Saurav Thakur

Suman Saurav Thakur

Numerade Educator

Problem 1029

The pressure on a swimmer $20 \mathrm{~m}$ below the surface of coater at sea level is
(A) $1.0 \mathrm{~atm}$
(B) $2.0 \mathrm{~atm}$
(C) $2.5 \mathrm{~atm}$
(D) $3.0 \mathrm{~atm}$

Samantha Baker

Numerade Educator

Problem 1030

A spherical solid ball of volume $\mathrm{V}$ is made of a material of density $\rho .$ It is falling through a liquid of density $\rho_{2}\left(\rho_{2}<\rho_{1}\right)$. Assume that the liquid applies a viscous force on the ball that is proportional to square of its speed $\mathrm{V}$. i.e. Fviscous $=-\mathrm{KV}^{2}(\mathrm{~K}>0)$. The terminal speed of the ball is
(A) $\left.\left[\left\{\operatorname{Vg} \rho_{1}\right\} / \mathrm{K}\right\}\right]$
(C) $\left.\left[\left\{\operatorname{Vg}\left(\rho_{1}-\rho_{1}\right)\right\} / \mathrm{K}\right\}\right]$
(D) $\left.\left.\sqrt{[}\left\{\operatorname{Vg}\left(\rho_{1}-\rho_{1}\right)\right\} / \mathrm{K}\right\}\right]$

Suman Saurav Thakur

Suman Saurav Thakur

Numerade Educator

Problem 1031

The fraction of floating object of volume $\mathrm{V}_{0}$ and density $\mathrm{d}_{0}$ above the surface of a Liquid as density $\mathrm{d}$ will be
(A) $\left(\mathrm{d}_{0} / \mathrm{d}\right)$
(B) $\left[\left\{\mathrm{dd}_{0}\right\} /\left\{\mathrm{d}+\mathrm{d}_{0}\right\}\right]$
(C) $\left[\left\{d-d_{0}\right\} / d\right]$
(D) $\left[\left\{\mathrm{dd}_{0}\right\} /\left\{\mathrm{d}-\mathrm{d}_{0}\right\}\right]$

RZ

Rubeena Zulfiqar

Numerade Educator

Problem 1032

A body floats in water with one-third of its volume above the surface of water. It is placed in oil it floats with half of: Its volume above the surface of the oil. The specific gravity of the oil is.
(A) $(5 / 3)$
(B) $(4 / 3)$
(C) $(3 / 2)$
(D) 1

Ashok Prajapati

Ashok Prajapati

Numerade Educator

Problem 1033

If there were no gravity which of the following will not be there for a fluid.
(A) Viscosity
(B) Surface tension
(C) pressure
(D) Archimedes's upward thrust

Baskar P

Numerade Educator

Problem 1034

A piece of solid weighs $120 \mathrm{~g}$ in air, $80 \mathrm{~g}$ in water and $60 \mathrm{~g}$ in liquid the relative density of the solid and that of the solid and that of the liquid are respectively.
(A) 3,2
(B) $2,(3 / 4)$
(C) $(3 / 4), 2$
(D) $3,(3 / 2)$

Akshaya Rs

Numerade Educator

Problem 1035

Ice pieces are floating in a beaker A containing water and also in a beaker B containing miscible liquid of specific gravity $1.2$ Ice melts the level of
(A) water increases in $\mathrm{A}$
(B) water decreases in $\mathrm{A}$
(C) Liquid in B decrease B
(D) Liquid in B increase

Suman Saurav Thakur

Suman Saurav Thakur

Numerade Educator

Problem 1036

An engine pumps water continuously through a hose water leares the hose with a velocity $\mathrm{V}$ and $\mathrm{m}$ is the mass per unit length of the water Jet what is the rate at which kinetic energy is imparted to water.
(A) $(1 / 2) \mathrm{mV}^{3}$
(B) $\mathrm{mV}^{3}$
(C) $(1 / 2) \mathrm{mV}^{2}$
(D) $(1 / 2) \mathrm{mV}^{\alpha} \mathrm{V}^{2}$

Prabhu Ramji

Numerade Educator

Problem 1037

The height of the dam in an hydro electric power station is $10 \mathrm{~m}$. In order to generate $1 \mathrm{MW}$ of electric power, the mass of water (in $\mathrm{kg}$ ) that must full per second on the brads of turbine is
(A) $10^{6}$
(B) $10^{5}$
(C) $10^{3}$
(D) $10^{4}$

Dheeraj Sharma

Numerade Educator

Problem 1038

Eight drops of a liquid of density 3 and each of radius a are falling through air with a constant velocity $3.75 \mathrm{~cm} \mathrm{~S}^{1}$ when the eight drops coalesce to form a single drop the terminal velocity of the new drop will be
(A) $15 \times 10^{-2} \mathrm{~ms}^{-1}$
(B) $2.4 \times 10^{-2} \mathrm{~m} / \mathrm{s}$
(C) $0.75 \times 10^{-2} \mathrm{~ms}^{-1}$
(D) $25 \times 10^{-2} \mathrm{~m} / \mathrm{s}$

Suman Saurav Thakur

Suman Saurav Thakur

Numerade Educator

Problem 1039

A cylinder of height $20 \mathrm{~m}$ is completely filled with water. The velocity of efflux of water in $\mathrm{m} / \mathrm{s}$ through a small hole on the side will of the cylinder near its bottom is
(A) 10
(B) 20
(C) $25.5$
(D) 5

Mahipal Kumawat

Mahipal Kumawat

Numerade Educator

Problem 1040

There is a hole in the bottom of tank having water. If total pressure at bottom $3 \mathrm{~atm}(1 \mathrm{~atm})$ then the velocity of water flowing from hole is
(A) $\sqrt{400(\mathrm{~m} / \mathrm{s})}$
(B) $\sqrt{60(\mathrm{~m} / \mathrm{s})}$
(C) $\sqrt{600}(\mathrm{~m} / \mathrm{s})$
(D) None of these

Mahendra K

Numerade Educator

Problem 1041

Two drops of the same radius are falling through air with a steady velocity for $5 \mathrm{~cm}$ per sec. If the two drops coakesce the terminal velocity would be
(A) $10 \mathrm{~cm}$ per sec
(B) $2.5 \mathrm{~cm}$ per sec
(C) $5 \times(4)^{(1 / 3)} \mathrm{cm}$ per sec
(D) $5 \times \sqrt{2} \mathrm{~cm}$ per sec

Narayan Hari

Numerade Educator

Problem 1042

An application of Bernoulli's equation for liquid flow is found in
(A) Dynamic lift of an aeroplane
(B) Viscosity metered
(C) Capillary rise
(D) tly dulic press

Ashok Prajapati

Ashok Prajapati

Numerade Educator

Problem 1043

An L-Shaped tube with a small orifice is held in a water stream as shown in fig. The upper end of the tube is $10.6 \mathrm{~cm}$ above the surface of water. What will be the height of the jet of water coming from the orifice velocity of water stream is $2.45 \mathrm{~m} / \mathrm{s}$
(A) zero
(B) $20.0 \mathrm{~cm}$
(C) $10.6 \mathrm{~cm}$
(D) $40 \mathrm{~cm}$

RZ

Rubeena Zulfiqar

Numerade Educator

Problem 1044

A tank is filled with water up to a height $\mathrm{H}$. Water is allowed to come out of a hole P in one of the walls at a depth $\mathrm{D}$ below the surface of water express the horizontal distance $\mathrm{x}$ in terms of $\mathrm{H}$ and $\mathrm{D}$.
(B) $\left.\mathrm{x}={ }^{\alpha} \sqrt{[}\{\mathrm{D}(\mathrm{H}-\mathrm{D})\} / 2\right]$
(D) $\mathrm{x}=4[\mathrm{D}(\mathrm{H}-\mathrm{D})]$

Mahendra K

Numerade Educator

Problem 1045

An incompressible fluid flows steadily through a cylindrical pipe which has radius $2 \mathrm{r}$ at point $\mathrm{A}$ and radius $\mathrm{r}$ at $\mathrm{B}$ further along the flow direction. It the velocity at point $\mathrm{A}$ is $\mathrm{V}$, its velocity at point $\mathrm{B}$.
(A) $2 \mathrm{~V}$
(B) V
(C) $(\mathrm{V} / 2)$
(D) $4 \mathrm{~V}$

Mahipal Kumawat

Mahipal Kumawat

Numerade Educator

Problem 1046

If the terminal speed of a sphere of gold [density $\left.=195\left(\mathrm{~kg} / \mathrm{m}^{3}\right)\right]$ is $0.2 \mathrm{~m} / \mathrm{s}$ in a viscous liquid [density $\left.=1.5\left(\mathrm{~kg} / \mathrm{m}^{3}\right)\right]$ find the terminal speed of a sphere of siher $\left[\right.$ density $\left.=10.5\left(\mathrm{~kg} / \mathrm{m}^{3}\right)\right]$ of the same size in the same liquid.
(A) $0.133(\mathrm{~m} / \mathrm{s})$
(B) $0.2(\mathrm{~m} / \mathrm{s})$
(C) $0.1(\mathrm{~m} / \mathrm{s})$
(D) $0.4(\mathrm{~m} / \mathrm{s})$

Mahendra K

Numerade Educator

Problem 1047

Two solid spheres of same metal but of mass $\mathrm{M}$ and $8 \mathrm{M}$ full simultaneously on a viscous liquid and their terminal velocity are $\mathrm{V}$ and ' $\mathrm{nV}^{\prime}$ then value of 'n' is
(A) 16
(B) 8
(C) 4
(D) 2

Akshaya Rs

Numerade Educator

Problem 1048

Two metal Spheres are falling through a liquid of density $2 \times 10^{3}\left(\mathrm{~kg} / \mathrm{m}^{3}\right)$ with the same uniform speed the metrical density at sphere 1 and sphere 2 are $8 \times 10^{3}\left(\mathrm{~kg} / \mathrm{m}^{3}\right)$ and $11 \times 10^{3}\left(\mathrm{~kg} / \mathrm{m}^{3}\right)$ respectively. The ration of their radii is.
(A) $(11 / 8)$
(B) $\sqrt{(11 / 8)}$
(C) $(3 / 2)$
(D) $\sqrt{(3 / 2)}$

Hunza Gilgit

Numerade Educator

Problem 1049

Water is flowing continuously from a tap having an internal diameter $8 \times 10^{-3} \mathrm{~m}$. The water velocity as it leaves the tap is $0.4 \mathrm{~m} / \mathrm{s}$. The diameter of the water stream at a distance $2 \times 10^{-1} \mathrm{~m}$ below the tap is close to
(A) $5.0 \times 10^{-3} \mathrm{~m}$
(B) $7.5 \times 10^{-3} \mathrm{~m}$
(C) $9.6 \times 10^{-3} \mathrm{~m}$
(D) $3.6 \times 10^{-3} \mathrm{~m}$

Akshaya Rs

Numerade Educator

Problem 1050

A large open tank has two holes in the wall one is a square hole of side $L$ ata depth y from the top and the other is a circular hole of radius $\mathrm{R}$ at a depth by from the top. When the tank is completely filled with water the quantities of water following out per second from both the holes are the some hen $\mathrm{R}$ is equal to
(A) $2 \pi \mathrm{L}$
(B) $(\mathrm{L} / \sqrt{2} \pi)$
(C) $L$
(D) $(\mathrm{L} / 2 \pi)$

Mahendra K

Numerade Educator

Problem 1051

A block of ice floats on a liquid of density $1 \cdot 2$ in a beaker then level of liquid when ice completely melt.
(A) Remains same
(B) Rises
(C) Lowers
(D) (A) (B) or (C)

Suman Saurav Thakur

Suman Saurav Thakur

Numerade Educator

Problem 1052

Read the assertion and reason carefully to mark the correct option out of the options given below
(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(c) If assertion is true but reason is false.
(d) If the assertion and reason are false.
(e) If assertion is false but reason is true.
Assertion: The blood pressure in humans is greater at the feet than at the brain. Reason: Pressure of liquid at any point is proportional to height clensity of liquid.
(A) a
(B) $b$
(C) $c$
(D) $\mathrm{d}$

Qudsiya Anis

Numerade Educator

Problem 1053

Read the assertion and reason carefully to mark the correct option out of the options given below
(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(c) If assertion is true but reason is false.
(d) If the assertion and reason are false.
(e) If assertion is false but reason is true.
Assertion: To empty an oil tank two holes so it will made. Reason: Oil will come out of two holes so it will be emptied faster.
(A) a
(B) b
(C)
(D) d

Raghvendra Singh

Raghvendra Singh

Numerade Educator

Problem 1054

Read the assertion and reason carefully to mark the correct option out of the options given below
(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(c) If assertion is true but reason is false.
(d) If the assertion and reason are false.
(e) If assertion is false but reason is true.
Assertion: A bubble comes from the bottom of a lake to the top. Reason: Its radius increases.
(A) a
(B) $b$
(C) $\mathrm{c}$
(D) d

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1055

Oxygen boils at $183^{\circ} \mathrm{C}$. This temperature is approximately.
(A) $215^{\circ} \mathrm{F}$
(B) $-297^{\circ} \mathrm{F}$
(C) $329^{\circ} \mathrm{F}$
(D) $361^{\circ} \mathrm{F}$

Vishal Gupta

Numerade Educator

Problem 1056

The resistance of a resistance thermometer has values $2.71$ and $3.70 \mathrm{ohm}$ at $10^{\circ} \mathrm{C}$ and $100^{\circ} \mathrm{C}$. The temperature at which the resistance is $3.26 \mathrm{ohm}$ is
(A) $40^{\circ} \mathrm{C}$
(B) $50^{\circ} \mathrm{C}$
(C) $60^{\circ} \mathrm{C}$
(D) $70^{\circ} \mathrm{C}$

Dheeraj Sharma

Numerade Educator

Problem 1057

Maximum density of $\mathrm{H}_{2} \mathrm{O}$ is at the temperature.
(A) $32^{\circ} \mathrm{F}$
(B) $39.2^{\circ} \mathrm{F}$
(C) $42^{\circ} \mathrm{F}$
(D) $4^{\circ} \mathrm{F}$

Shahab Ullah

Numerade Educator

Problem 1058

At what temperature the centigrade (celsius) and Fahrenheit readings at the same.
$(\mathrm{A})-40^{\circ}$
(B) $+40^{\circ} \mathrm{C}$
(C) $36.6^{\circ}$
(D) $-37^{\circ} \mathrm{C}$

Shahab Ullah

Numerade Educator

Problem 1059

Mercury thermometers can be used to measure temperatures up to
(A) $100^{\circ} \mathrm{C}$
(B) $212^{\circ} \mathrm{C}$
(C) $360^{\circ} \mathrm{C}$
(D) $500^{\circ} \mathrm{C}$

Aadit Sharma

Numerade Educator

Problem 1060

If temperature of an object is $140^{\circ} \mathrm{F}$ then its temperature in centigrade is
(A) $105^{\circ} \mathrm{C}$
(B) $32^{\circ} \mathrm{C}$
(C) $140^{\circ} \mathrm{C}$
(D) $60^{\circ} \mathrm{C}$

Sachin Rao

Numerade Educator

Problem 1061

When the room temperature becomes equal to the dew point the relative humidity of the room is
(A) $100 \%$
(B) $0 \%$
(C) $70 \%$
(D) $85 \%$

Dheeraj Sharma

Numerade Educator

Problem 1062

If the length of a cylinder on heating increases by $2 \%$ the area of its base will increase by.
(A) $0.5 \%$
(B) $2 \%$
(C) $1 \%$
(D) $4 \%$

Dheeraj Sharma

Numerade Educator

Problem 1063

Density of substance at $0^{\circ} \mathrm{C}$ is $10 \mathrm{gm} / \mathrm{CC}$ and at $100^{\circ} \mathrm{C}$ its density is $9.7 \mathrm{gm} / \mathrm{CC}$. The coefficient of linear expansion of the substance will be
(A) $10^{2}$
(B) $10^{-2}$
(C) $10^{-3}$
(D) $10^{-4}$

Pk

Pankaj Kumawat

Numerade Educator

Problem 1064

A beaker is completely filled with water at $4^{\circ} \mathrm{C}$ It will overflow if
(A) Heated above $4^{\circ} \mathrm{C}$
(B) Cooled below $4^{\circ} \mathrm{C}$
(C) Both heated and cooled above and below $4^{\circ} \mathrm{C}$ respectively
(D) None of these

Dheeraj Sharma

Numerade Educator

Problem 1065

An iron bar of length $10 \mathrm{~m}$ is heated from $0^{\circ} \mathrm{C}$ to $100^{\circ} \mathrm{C}$. If the coefficient of linear thermal expansion of iron is $\left[\left\{10 \times 10^{-6}\right\} / \mathrm{C}\right]$ the increase in the length of bar is
(A) $0.5 \mathrm{~cm}$
(B) $1.0 \mathrm{~cm}$
(C) $1.5 \mathrm{~cm}$
(D) $2.0 \mathrm{~cm}$

Dheeraj Sharma

Numerade Educator

Problem 1066

Melting point of ice
(A) Increases with increasing pressure
(B) Decreases with increasing pressure
(C) Is independent of pressure
(D) is proportional of pressure

Narayan Hari

Numerade Educator

Problem 1067

Amount of heat required to raise the temperature of a body through $1 \mathrm{k}$ is called it is
(A) Water equivalent
(B) Thermal capacity
(C) Entropy
(D) Specific heat

Narayan Hari

Numerade Educator

Problem 1068

A vessel contains $110 \mathrm{~g}$ of water the heat capacity of the vessel is equal to $10 \mathrm{~g}$ of water. The initial temperature of water in vessel is $10^{\circ} \mathrm{C}$ If $220 \mathrm{~g}$ of hot water at $70^{\circ} \mathrm{C}$ is poured in the vessel the Final temperature neglecting radiation loss will be
(A) $70^{\circ} \mathrm{C}$
(B) $80^{\circ} \mathrm{C}$
(C) $60^{\circ} \mathrm{C}$
(D) $50^{\circ} \mathrm{C}$

Mahendra K

Numerade Educator

Problem 1069

In a water fall the water falls from a height of $100 \mathrm{~m}$. If the entire K.E. of water is converted in to heat the rise in temperature of water will be
(A) $0.23^{\circ} \mathrm{C}$
(B) $0.46^{\circ} \mathrm{C}$
(C) $2.3^{\circ} \mathrm{C}$
(D) $0.023^{\circ} \mathrm{C}$

Dheeraj Sharma

Numerade Educator

Problem 1070

The temperature at which the vapour pressure of a liquid becomes equals of the external pressure is its.
(A) Melting point
(B) sublimation point
(C) Critical temperature
(D) Boiling point

Yogesh R

Numerade Educator

Problem 1071

$10 \mathrm{~g}$ of ice at $0^{\circ} \mathrm{C}$ is mixed with $100 \mathrm{~g}$ of water at $50^{\circ} \mathrm{C}$. What is the resultant temperature of mixture.
(A) $31.2^{\circ} \mathrm{C}$
(B) $32.8^{\circ} \mathrm{C}$
(C) $36.7^{\circ} \mathrm{C}$
(D) $38.2^{\circ} \mathrm{C}$

Ajay Singhal

Numerade Educator

Problem 1072

Two metal strips that constitute a thermostat must necessarily in their
(A) Mass
(B) Length
(C) Resistivity
(D) Coefficient of liner expansion

Morgan Cheatham

Morgan Cheatham

Numerade Educator

Problem 1073

$2 \mathrm{~kg}$ of Ice at $-20^{\circ} \mathrm{C}$ is mixed with $5 \mathrm{~kg}$ of water at $20^{\circ} \mathrm{C}$ in an insulating vessel having a negligible heat capacity calculate the final mass of water remaining in the container. It is given that the specific heats of water and ice care $1 \mathrm{kca} / / \mathrm{kg}$ per ${ }^{\circ} \mathrm{C}$ and $0.5 \mathrm{Kcal} / \mathrm{kg} 1^{\circ} \mathrm{C}$ while the latent heat of
fusion of ice is $80 \mathrm{kcal} / \mathrm{kg}$.
(A) $7 \mathrm{~kg}$
(B) $6 \mathrm{~kg}$
(C) $4 \mathrm{~kg}$
(D) $2 \mathrm{~kg}$

Narayan Hari

Numerade Educator

Problem 1074

A lead bullet at $27^{\circ} \mathrm{C}$ just melts when stopped by an obstacle. Assuming that $25 \%$ of heat is observed by the obstacle then the velocity of the bullet at the time of striking. [M.P. of lead $=327^{\circ} \mathrm{C}$, specific heat of lead $=0.03 \mathrm{cal} / \mathrm{x}$ latent heat of fusion of lead $=6 \mathrm{cal} / \mathrm{g}$ and $\mathrm{J}=4.2$ Jute $/ \mathrm{cal}]$
(A) $410 \mathrm{~m} / \mathrm{s}$
(B) $1230 \mathrm{~m} / \mathrm{s}$
(C) $307.5 \mathrm{~m} / \mathrm{s}$
(D) None of these

Nikhil Choudhary

Nikhil Choudhary

Numerade Educator

Problem 1075

An electric kettle takes 4 A current at $220 \mathrm{~V}$. How much time will it take to boil $1 \mathrm{~kg}$ of water from temperature $2^{\circ} \mathrm{C}$ ? The temperature of boiling water is $10^{\circ} \mathrm{C}$.
(A) $12.6 \mathrm{~min}$
(B) $4.2 \mathrm{~min}$
(C) $6.3 \mathrm{~min}$
(D) $8.4 \mathrm{~min}$

Mahipal Kumawat

Mahipal Kumawat

Numerade Educator

Problem 1076

A block of ice at $-10^{\circ} \mathrm{C}$ is slowly heated and converted to steam at $100^{\circ} \mathrm{C}$ which of the following curves represents the phenomenon qualitatively.

Narayan Hari

Numerade Educator

Problem 1077

The variation of density of water with temperature is represented by the

Dheeraj Sharma

Numerade Educator

Problem 1078

Read the assertion and reason carefully to mark the correct option out of the option given below.
(a) If both assertion and reason are true and the reason is the correct explanation of the reason.
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(c) If assertion is true but reason is false.
(d) If the assertion and reason both are false.
(e) If assertion is false but reason is true.
Assertion: The melting point of the ice decreases with increases pressure Reason: Ice contracts on melting
(A) a
(B) b
(C) $\mathrm{c}$
(D) d
(E) e

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1079

Read the assertion and reason carefully to mark the correct option out of the option given below.
(a) If both assertion and reason are true and the reason is the correct explanation of the reason.
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(c) If assertion is true but reason is false.
(d) If the assertion and reason both are false.
(e) If assertion is false but reason is true.
Assertion: Fahrenheit is the smallest unit measuring temperature. Reason: Fahrenheit was the first temperature scale used for measuring temperature.
(A) $a$
(B) b
(C) $c$
(D) d
(E) e

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1080

Read the assertion and reason carefully to mark the correct option out of the option given below.
(a) If both assertion and reason are true and the reason is the correct explanation of the reason.
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(c) If assertion is true but reason is false.
(d) If the assertion and reason both are false.
(e) If assertion is false but reason is true.
Assertion: Melting of solid causes no change in internal energy. Reason: Latent heat is the heat required melt a unit mass of solid.
(A) a
(B) $\mathrm{b}$
(C) $c$
(D) $\mathrm{d}$
(E) $\mathrm{e}$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1081

Read the assertion and reason carefully to mark the correct option out of the option given below.
(a) If both assertion and reason are true and the reason is the correct explanation of the reason.
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(c) If assertion is true but reason is false.
(d) If the assertion and reason both are false.
(e) If assertion is false but reason is true.
Assertion: Specific heat capacity is the cause of formation of land and sea breeze. Reason: The specific heat of water is more then land.
(A) a
(B) $b$
(C) $c$
(D) $\mathrm{d}$
$(\mathrm{E}) \mathrm{e}$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1082

Read the assertion and reason carefully to mark the correct option out of the option given below.
(a) If both assertion and reason are true and the reason is the correct explanation of the reason.
(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(c) If assertion is true but reason is false.
(d) If the assertion and reason both are false.
(e) If assertion is false but reason is true.
Assertion: The molecules of $0^{\circ} \mathrm{C}$ ice and $0^{\circ} \mathrm{C}$ water will have same potential energy. Reason: Potential energy depends only on temperature of the system.
(A) a
(B) $b$
(C) $\mathrm{c}$
(D) d
(E) e

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1083

Read the assertion and reason carefully to mark the correct ption out of the option given below.
(a) If both assertion and reason are true and the reason is he correct explanation of the reason.
b) If both assertion and reason are true but reason is not the correct explanation of the assertion.
'c) If assertion is true but reason is false.
d) If the assertion and reason both are false.
e) If assertion is false but reason is true.
Assertion: A beaker is completely filled with water at $4^{\circ} \mathrm{C}$. It will overflow both where heated or cooled. Reason: There is expansion of water below and above $4^{\circ} \mathrm{C}$.
(A) a
(B) b
(C)
(D) d
(E) e
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Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator