• Home
  • Textbooks
  • Guide to Physics IIT JEE
  • Hydrodynamics and Properties of Fluids

Guide to Physics IIT JEE

Ravi Raj Dudeja

Chapter 11

Hydrodynamics and Properties of Fluids - all with Video Answers

Educators

Chapter Questions

01:01

Problem 1

Figure shows a capillary tube of radius $r$ dipped into water. If the atmospheric pressure is $P_0$, the pressure at point $A$ (just below the meniscus) is
(a) $P_0$
(b) $P_0+\frac{2 S}{r}$
(c) $P_0-\frac{2 S}{r}$
(d) $P_0-\frac{4 S}{r}$
where $S$ is surface tension

Saman Zulfiqar
Saman Zulfiqar
Numerade Educator
01:56

Problem 2

The excess pressure inside a soap bubble is twice the excess pressure inside a second soap bubble. The volume of the first bubble is $n$ times the volume of the second where $n$ is
(a) 4
(b) 2
(c) 8
(d) 0.125

Hunza Gilgit
Hunza Gilgit
Numerade Educator
00:50

Problem 3

Which of the following graphs may represent the relation between the capillary rise $h$ and the radius $r$ of the capillary?

Rebecca Wallace
Rebecca Wallace
Numerade Educator
01:32

Problem 4

There is a small hole of diameter $2 \mathrm{~mm}$ in the wall of a water tank at a depth of $10 \mathrm{~m}$ below free water surface. The velocity of efflux of water from the hole will be
(a) $0.14 \mathrm{~m} / \mathrm{s}$
(b) $1.4 \mathrm{~m} / \mathrm{s}$
(c) $0.014 \mathrm{~m} / \mathrm{s}$
(d) $14 \mathrm{~m} / \mathrm{s}$

Akshaya Rs
Akshaya Rs
Numerade Educator
01:01

Problem 4

The velocity of a liquid coming out of a hole in the tank wall is
(a) more if the hole is near the upper end
(b) more if the hole is at the centre of the wall.
(c) more if the hole is near the bottom.
(d) velocity of flow does not depend upon the position of hole.

Narayan Hari
Narayan Hari
Numerade Educator
01:22

Problem 4

Water rises in a vertical capillary tube upto a length of $10 \mathrm{~cm}$. If the tube is inclined at $45^{\circ}$, the length of water risen in the tube will be
(a) $10 \mathrm{~cm}$
(b) $10 \sqrt{2} \mathrm{~cm}$
(c) $10 / \sqrt{2}$
(d) none of these

Saman Zulfiqar
Saman Zulfiqar
Numerade Educator
01:33

Problem 5

A $20 \mathrm{~cm}$ long capillary tube is dipped in water. The water rises up to $8 \mathrm{~cm}$. If the entire arrangement is put in a freely falling elevator, the length of water column in the capillary tube will be
(a) $8 \mathrm{~cm}$
(b) $6 \mathrm{~cm}$
(c) $10 \mathrm{~cm}$
(d) $20 \mathrm{~cm}$

Mahipal Kumawat
Mahipal Kumawat
Numerade Educator
01:43

Problem 5

For which type of liquid is the value of Reynold's number low?
(a) Low density
(b) High viscosity
(c) Low velocity
(d) All of the above

Mahendra K
Mahendra K
Numerade Educator
01:01

Problem 6

Viscosity is a property of
(a) liquids only.
(b) solids only.
(c) solids and liquids only.
(d) liquids and gases only.

Narayan Hari
Narayan Hari
Numerade Educator
01:27

Problem 7

The force of viscosity is
(a) electromagnetic.
(b) gravitational.
(c) nuclear.
(d) weak.

Mirza Aslam Beig
Mirza Aslam Beig
Numerade Educator
01:27

Problem 8

The viscous force acting between two layers of a liquid is given by $\frac{F}{A}=-\eta \frac{d v}{d z}$. This $F / A$ may be called
(a) pressure.
(b) longitudinal stress.
(c) tangential stress.
(d) volume stress.

Mirza Aslam Beig
Mirza Aslam Beig
Numerade Educator
01:25

Problem 9

A raindrop falls near the surface of the earth with almost uniform velocity because
(a) its weight is negligible.
(b) the force of surface tension balances its weight.
(c) the force of viscosity of air balances its weight.
(d) the drops are charged and atmospheric electric field balances its weight.

Pritesh Ranjan
Pritesh Ranjan
Numerade Educator
02:54

Problem 10

A piece of wood is taken deep inside a long column of water and released. It will move up
(a) with a constant upward acceleration.
(b) with a decreasing upward acceleration.
(c) with a deceleration.
(d) with a uniform velocity.

VS
Vivek Singh
Numerade Educator
02:07

Problem 11

A solid sphere falls with a terminal velocity of $20 \mathrm{~m} / \mathrm{s}$ in air. If it is allowed to fall in vaccum,
(a) terminal velocity will be $20 \mathrm{~m} / \mathrm{s}$.
(b) terminal velocity will be less than $20 \mathrm{~m} / \mathrm{s}$.
(c) terminal velocity will be more than $20 \mathrm{~m} / \mathrm{s}$.
(d) there will be no terminal velocity.

Akshaya Rs
Akshaya Rs
Numerade Educator
01:04

Problem 12

A spherical ball is dropped in a long column of a viscous liquid. The speed of the ball as a function of time may be best represented by the graph

Narayan Hari
Narayan Hari
Numerade Educator
01:09

Problem 13

What will be the critical velocity of water in a tube of radius $1 \mathrm{~m}$, if the coefficient of viscosity of water is 1793 poise and Reynold's number is 1000 .
(a) $17.93 \mathrm{~cm} / \mathrm{s}$
(b) $17.93 \times 10^2 \mathrm{~cm} / \mathrm{s}$
(c) $17.93 \times 10^4 \mathrm{~cm} / \mathrm{s}$
(d) $17.93 \times 10^3 \mathrm{~cm} / \mathrm{s}$

Narayan Hari
Narayan Hari
Numerade Educator
01:58

Problem 14

Two different liquids are flowing in two tubes of equal radius. The ratio of coefficients of viscosity of liquids is $52: 49$ and the ratio of their densities is $15.6: 1$, then the ratio of their critical velocities will be
(a) 0.068
(b) 0.68
(c) 6.8
(d) 68

RZ
Rubeena Zulfiqar
Numerade Educator
01:37

Problem 15

If the radius of narrow hole in the bottom of a rocket is $2 \mathrm{~cm}$ and the pressure difference between inside and outside the chamber is 5 atmospheres, then the reactional force in dynes acting on the rocket will be
(a) $1.27 \times 10^4$
(b) $1.27 \times 10^{-4}$
(c) $1.21 \times 10^8$
(d) $1.27 \times 10^{10}$

Dheeraj Sharma
Dheeraj Sharma
Numerade Educator
01:43

Problem 16

The difference of two liquid levels in a manometer is $10 \mathrm{~cm}$ and its density is $0.8 \mathrm{gm} / \mathrm{cm}^3$. If the density of air is $1.3 \times 10^3 \mathrm{gm} / \mathrm{cm}^3$ then the velocity of air will be (in $\mathrm{cm} / \mathrm{sec}$ )
(a) 347
(b) 34.7
(c) 3470
(d) 0.347

Alkendra Singh
Alkendra Singh
Numerade Educator
01:01

Problem 17

The unit of the coefficient of viscosity in S.I. system is
(a) $\mathrm{m} / \mathrm{kg} / \mathrm{s}$
(b) $\mathrm{m} / \mathrm{s} / \mathrm{kg}^2$
(c) $\mathrm{kg} / \mathrm{m} / \mathrm{s}^2$
(d) $\mathrm{kg} / \mathrm{m} / \mathrm{s}$

Sanchit Jain
Sanchit Jain
Numerade Educator
04:58

Problem 18

Two water pipes of diameter $2 \mathrm{~cm}$ and $4 \mathrm{~cm}$ are connected to main water source. The rate of water flow through $2 \mathrm{~cm}$ pipe as compared to that through $4 \mathrm{~cm}$ pipe will be
(a) one fourth.
(b) double.
(c) half
(d) four times

RZ
Rubeena Zulfiqar
Numerade Educator
02:21

Problem 19

The mass of a lead ball is $M$. It falls down in a viscous liquid with terminal velocity $V$ : The terminal velocity of another lead ball of mass $8 \mathrm{M}$ in the same liquid will be
(a) $64 \mathrm{I}^{\circ}$
(b) $4 \mathrm{I}^{\circ}$
(c) $8 \mathrm{I}^{\circ}$
(d) $\mathrm{V}^{\prime}$

RZ
Rubeena Zulfiqar
Numerade Educator
01:04

Problem 20

A small spherical solid ball is falling down in a viscous liquid. Its velocity in the viscous liquid is best represented by the curve
(a) D
(b) $\mathrm{C}$
(c) $\mathrm{B}$
(d) $\mathrm{A}$

Narayan Hari
Narayan Hari
Numerade Educator
04:57

Problem 21

The flow of water in a horizontal pipe is streamline. At a point in the tube where its cross-sectional area is 10 $\mathrm{cm}^2$, the velocity of water and pressure are $1 \mathrm{~m} / \mathrm{s}$ and $2 \times 10^2$ pascal, respectively. The pressure of water at a different point, where the cross-sectional area is $5 \mathrm{~cm}^2$, will be
(a) 2000 Pascal.
(b) 1000 Pascal
(c) 250 Pascal
(d) 500 Pascal.

Prabhu Ramji
Prabhu Ramji
Numerade Educator
01:41

Problem 22

The Bemoulli's theorem is based on
(a) conservation of energy.
(b) conservation of momentum.
(c) conservation of mass.
(d) conservation of charge,

Akshaya Rs
Akshaya Rs
Numerade Educator
01:37

Problem 23

An incompressible liquid is continuously flowing through a cylindrical pipe whose radius is $2 R$ at point $A$. The radius at point $B$, in the direction of flow, is $R$. If the velocity of liquid at point $A$ is I' then its velocity at point $B$ will be (a) $\mathrm{I}^{\circ}$
(b) $4 \mathrm{~V}^{\circ}$
(c) $2 \mathrm{I}^{\circ}$
(d) $\frac{v^{\prime}}{2}$

Mahipal Kumawat
Mahipal Kumawat
Numerade Educator
03:07

Problem 24

A water tank is filled with water upto a height $H$. A hole is made in the tank wall at a depth $D$ from the surface of water. The distance $X$ from the lower end of wall where the water stream from tank strikes the ground is
(a) $2 \sqrt{g D}$
(b) $2 \sqrt{D(H+D)}$
(c) $2 \sqrt{D(H-D)}$
(d) $\sqrt{D}$

Mahendra K
Mahendra K
Numerade Educator
02:20

Problem 25

The rate of flow of a liquid through a capillary tube under and constant pressure head is $Q$. If the diameter of the tube is reduced to half and its length is doubled, then the new rate of flow of liquid will be
(a) $\frac{Q}{4}$
(b) $\frac{Q}{8}$
(c) $16 Q$
(d) $\frac{Q}{32}$

RZ
Rubeena Zulfiqar
Numerade Educator
02:56

Problem 26

Three vertical tubes $X, Y$ and $Z$ are connected to a horizontal pipe as shown in figure 11.50 . At the points of joint, the radii of the pipe are $2 \mathrm{~cm}, 1 \mathrm{~cm}$ and $2 \mathrm{~cm}$ respectively. Water is flowing in this pipe. The water level in the vertical tubes will be
(a) upto same height in $X$ and $Z$.
(b) upto same height in all the three.
(c) upto same height in $X$ and $Y$.
(d) upto maximum height in $X$.

Fig. 11.50

RZ
Rubeena Zulfiqar
Numerade Educator
01:16

Problem 27

A small sphere of mass $M$ and density is dropped in a vessel filled with glycerine. If the density of glycerine is $D_2$ then the viscous force acting on the ball will he in Newton.
(a) $M D_1 D_2$
(b) $M g\left[1-\frac{D_2}{D_1}\right]$
(c) $\frac{M D_1 g}{D_2}$
(d) $\frac{M}{g}\left(D_1+D_2\right)$

Prem Bijarniya
Prem Bijarniya
Numerade Educator
04:03

Problem 28

Water is flowing with a velocity of $2 \mathrm{~m} / \mathrm{s}$ in a horizontal pipe with cross-sectional area decreasing from $2 \times 10^{-2}$ $\mathrm{m}^2$ to $0.01 \mathrm{~m}^2$ at pressure $4 \times 10^4$ pascal. The pressure at smaller cross-section in pascal will be
(a) 32
(b) 3.4
(c) $3.4 \times 10^4$
(d) $3.4 \times 10^5$

RZ
Rubeena Zulfiqar
Numerade Educator
02:11

Problem 29

A pitot's tube is attached at one of the wings of an aeroplane in order to determine its velocity with respect to air. If the difference of two liquid levels in manometer is $10 \mathrm{~cm}$ and density of liquid is $0.8 \mathrm{gm} / \mathrm{cm}^3$, then the velocity of plane with respect to air will be (given density of air $=1.293 \times 10^{-3} \mathrm{gm} / \mathrm{cm}^3$ ).
(a) $34.82 \mathrm{~cm} / \mathrm{s}$
(b) $3.48 \mathrm{~cm} / \mathrm{s}$
(c) $348.2 \mathrm{~cm} / \mathrm{s}$
(d) $3482 \mathrm{~cm} / \mathrm{s}$

Dheeraj Sharma
Dheeraj Sharma
Numerade Educator
01:38

Problem 30

The coefficient of viscosity of a liquid does not depend upon
(a) the density of liquid.
(b) temperature of liquid.
(c) pressure of liquid.
(d) nature of liquid.

Akshaya Rs
Akshaya Rs
Numerade Educator
01:01

Problem 31

When the velocity of a liquid is greater than its critical velocity then the flow of liquid will be
(a) streamline.
(b) turbulent.
(c) sometimes streamline and sometimes turbulent.
(d) none of the above.

Suman Saurav Thakur
Suman Saurav Thakur
Numerade Educator
01:38

Problem 32

The cause of viscosity in gases is
(a) cohesive force.
(b) adhesive force.
(b) diffusion.
(d) conductivity.

Ishu Khandelwal
Ishu Khandelwal
Numerade Educator
01:38

Problem 33

The cause of viscosity of liquids is
(a) diffusion.
(b) adhesive force.
(c) gravitational force.
(d) cohesive force.

Ishu Khandelwal
Ishu Khandelwal
Numerade Educator
01:03

Problem 34

The dimensions of velocity gradient are
(a) $T^{-1}$
(b) $T$
(c) $T_2$
(d) $T^{\circ}$

Ankur S
Ankur S
Numerade Educator
01:00

Problem 35

The correct formula of critical velocity $\left(V_e\right)$ is
(a) $V_c=\frac{k \eta d}{r}$
(b) $V_c=\frac{k \eta}{d r}$
(c) $I_c^*=\frac{d r}{K \eta}$
(d) $\mathrm{F}_{\mathrm{c}}=\frac{r \eta}{d k}$

Suman Saurav Thakur
Suman Saurav Thakur
Numerade Educator
03:01

Problem 36

The viscous force acting on a body falling under gravity in a viscous fluid will be
(a) $\frac{6 \pi l^{\circ}}{\eta r}$
(b) $\frac{6 \pi \eta r}{V^*}$
(c) $6 \pi \eta r V$
(d) $\frac{r l^*}{6 \pi \eta}$

Charles Machakwa
Charles Machakwa
Numerade Educator
02:51

Problem 37

The equation of continuity is
(a) $a V^{-1}=$ constant.
(b) $a^2 V^2=$ constant.
(c) $\frac{V}{a}=$ constant.
(d) $\mathrm{al}^{\prime}=$ constant.

Baskar P
Baskar P
Numerade Educator
01:02

Problem 38

The viscosity of an ideal fluid is
(a) zero.
(b) infinity.
(c) one
(d) 0.5 .

Narayan Hari
Narayan Hari
Numerade Educator
02:26

Problem 39

The relative velocity of two consecutive layers is 8 $\mathrm{cm} / \mathrm{s}$. If the perpendicular distance between the layers is $0.1 \mathrm{~cm}$, then the velocity gradient will be
(a) $8 \mathrm{sec}^{-1}$
(b) $80 \mathrm{sec}^{-1}$
(c) $0.8 \mathrm{sec}^{-1}$
(d) $0.08 \mathrm{sec}^{-1}$

RZ
Rubeena Zulfiqar
Numerade Educator
02:21

Problem 40

One end of a horizontal pipe is closed with the help of a valve and the reading of a barometer attached to the pipe is $3 \times 10^5$ pascal. When the value in the pipe is opened then the reading of barometer falls to $10^5$ pascal. The velocity of water flowing through the pipe will be in $\mathrm{m} / \mathrm{s}$
(a) 0.2
(b) 2
(c) 20
(d) 200

Suman Saurav Thakur
Suman Saurav Thakur
Numerade Educator
03:40

Problem 42

In the above problem the rate of flow of water in $\mathrm{m}^{3 / s}$ will be
(a) $4.4 \times 10^{-5}$
(b) $4.4 \times 10^{-4}$
(c) $4.4 \times 10^{-3}$
(d) $4.4 \times 10^{-2}$

VS
Vivek Singh
Numerade Educator
02:53

Problem 43

The diameter of ball $y$ is double that of $x$. The ratio of their terminal velocities inside water will be
(a) $1: 4$
(b) $4: 1$
(c) $1: 2$
(d) $2: 1$

Prem Bijarniya
Prem Bijarniya
Numerade Educator
01:12

Problem 44

The terminal velocity $\left(\mathrm{F}_2\right)$ of a small sphere falling under gravity in a viscous liquid is related to its radius as
(a) $I_c \propto r$
(b) $\frac{I_e \alpha_1}{r}$
(c) $\mathrm{V}_f \propto \mathrm{r}^2$
(d) $V_f \propto r^3$

RZ
Rubeena Zulfiqar
Numerade Educator
01:25

Problem 45

One poise is equivalent to
(a) 0.001 pascal second
(b) 0.0001 pascal second
(c) 0.01 pascal second
(d) 0.1 pascal second

Mirza Aslam Beig
Mirza Aslam Beig
Numerade Educator
01:56

Problem 46

The velocity of kerosene oil in a horizontal pipe is $5 \mathrm{~m} / \mathrm{s}$. If $g=10 \mathrm{~m} / \mathrm{s}^2$ then the velocity head of oil will be
(a) $1.25 \mathrm{~m}$
(b) $12.5 \mathrm{~m}$
(c) $0.125 \mathrm{~m}$
(d) $125 \mathrm{~m}$

James Kiss
James Kiss
Numerade Educator
01:22

Problem 47

A layer of glycerine of thickness $1 \mathrm{~mm}$ is enclosed between a big plate and another plane of area $10^2 \mathrm{~m}^2$. If the coefficient of viscosity of glycerine is $1 \mathrm{~kg} / \mathrm{m} / \mathrm{s}$, then the force in Newton required to move the plate with a velocity of $0.07 \mathrm{~m} / \mathrm{s}$ will be
(a) 7
(b) 0.7
(c) 70
(d) 0.07

Narayan Hari
Narayan Hari
Numerade Educator
03:01

Problem 49

The formula for the resistance of a fluid is
(a) $R=\frac{\pi r^4}{8 \eta l}$
(b) $R=\frac{8 \eta l}{\pi r^2}$
(c) $R=\frac{8 \eta l}{\pi r^3}$
(d) $R=\frac{8 \eta l}{\pi r^4}$

Charles Machakwa
Charles Machakwa
Numerade Educator
01:22

Problem 50

A plate of area $100 \mathrm{~cm}^2$ is lying on the upper surface of a $2 \mathrm{~mm}$ thick oil film. If the coefficient of viscosity of oil is 15.5 poise then the horizontal force required to move the plate with a velocity of $3 \mathrm{~cm} / \mathrm{s}$ will be
(a) 0.2325 Newton
(b) 2.325 Newton
(c) 23.25 Newton
(d) 232.5 Newton

Narayan Hari
Narayan Hari
Numerade Educator
00:26

Problem 51

Out of the following the maximum viscosity is of
(a) oxygen
(b) glycerine.
(c) mercury.
(d) water.

Hunza Gilgit
Hunza Gilgit
Numerade Educator
01:37

Problem 52

The Magnus effect is equivalent to
(a) electric field.
(b) magnetic field.
(c) Bemouli's theorem.
(d) magnetic effect of current.

Akshaya Rs
Akshaya Rs
Numerade Educator
02:47

Problem 53

The cause of floating of clouds in atmosphere is-
(a) low viscosity.
(b) low temperature.
(c) low pressure.
(d) low density.

Yaqub Khan
Yaqub Khan
Numerade Educator
02:20

Problem 54

The velocity efflux of a liquid is
(a) $\sqrt{2} g h$
(b) $2 g h$
(c) $g h$
(d) $\sqrt{g} h$

Mahendra K
Mahendra K
Numerade Educator
04:57

Problem 56

When a solid ball of volume $V$ is dropped into a viscous liquid, then a viscous force $F$ acts on it. If another ball of volume $2 \mathrm{~V}$ of the same material is dropped in the same liquid then the viscous force experienced by it will be
(a) $2 n F$
(b) $\frac{n F}{2}$
(c) $2 \mathrm{~F}$
(d) $\frac{F}{2}$

RZ
Rubeena Zulfiqar
Numerade Educator
01:48

Problem 57

According to Beynouli's equation the expression which remains constant is
(a) $P+\frac{\rho v^2}{2}$
(b) $P+\frac{\rho v^2}{2}-\rho g h$
(c) $P+\rho g h$
(d) $P+\rho g h+\frac{\rho v^2}{2}$

VS
Vivek Singh
Numerade Educator
01:45

Problem 58

Water is flowing with a velocity of $3 \mathrm{~m} / \mathrm{s}$ in a pipe of diameter $4 \mathrm{~cm}$. This water enters another tube of diameter $2 \mathrm{~cm}$. The velocity of water in this tube is
(a) $12 \mathrm{~m} / \mathrm{s}$
(b) $6 \mathrm{~m} / \mathrm{s}$
(c) $3 \mathrm{~m} / \mathrm{s}$
(d) $1.5 \mathrm{~m} / \mathrm{s}$

Akshaya Rs
Akshaya Rs
Numerade Educator
01:55

Problem 59

The height of water level in a tank is $H$. The range of water stream coming out of a hole at depth $H / 4$ from upper water level will be.
(a) $\frac{\sqrt{3} H}{2}$
(b) $\frac{2 H}{\sqrt{3}}$
(c) $\frac{H}{\sqrt{3}}$
(d) $\sqrt{3} H$

Mahendra K
Mahendra K
Numerade Educator
06:39

Problem 60

A wooden block of mass $8 \mathrm{~kg}$ is tied to a string attached to the bottom of a tank. The block is completely inside the water. Relative density of wood is 0.8 . Taking $g=$ $10 \mathrm{~m} / \mathrm{s}^2$, what is the tension in the string?
(a) $100 \mathrm{~N}$
(b) $80 \mathrm{~N}$
(c) $50 \mathrm{~N}$
(d) $20 \mathrm{~N}$

Baskar P
Baskar P
Numerade Educator
01:39

Problem 61

An air bubble of radius $r$ rises from the bottom of a tube of depth $H$. When it reaches the surface, its radius becomes $3 r$. What is the atmospheric pressure in terms of the height of water column?
(a) $\frac{H}{2}$
(b) $\frac{H}{4}$
(c) $\frac{H}{8}$
(d) $\frac{H}{16}$

Saman Zulfiqar
Saman Zulfiqar
Numerade Educator
05:33

Problem 62

A balloon of mass $\mathrm{lg}$ has $100 \mathrm{~g}$ of water in it. If it is completely immersed in water, its mass will be:
(a) $0.5 \mathrm{~g}$
(b) $10 \mathrm{~g}$
(c) $2.0 \mathrm{~g}$
(d) $10 \mathrm{Ig}$

Shalini Tyagi
Shalini Tyagi
Numerade Educator
01:01

Problem 63

A wooden ball of density $p$ is immersed in a liquid of density $\sigma$ to a depth $H$ and then released. The height $h$ above the surface to which the ball rises will be:
(a) $h=H$
(b) $h=\frac{\sigma}{\rho} H$
(c) $h=\frac{\sigma-\rho}{\rho} H$
(d) $h=\frac{\sigma}{\rho} H$

Narayan Hari
Narayan Hari
Numerade Educator
01:02

Problem 64

A sphere of solid material of relative density 9 has a concentric spherical cavity and just floats in water. If the radius of the sphere be $R$, then the radius of the cavity ( $r$ ) will be related to $R$ as:
(a) $r^3=\frac{8}{9} R^3$
(b) $r^3=\frac{2}{3} R^3$
(c) $r^3=\frac{\sqrt{8}}{3} R^{\text {, }}$
(d) $r^3=\sqrt{\frac{2}{3}} R^3$

Narayan Hari
Narayan Hari
Numerade Educator
03:59

Problem 65

Given that for a gas $B_d=$ isothermal bulk modulus, $B_a=$ adiabatic bulk modulus, $p=$ pressure and $y=$ ratio of the specific heat at constant pressure to that at constant volume. Which of the following relations is correct ?
(a) $B_a=p$
(b) $B_0=p$
(c) $B_i=\gamma B_a$
(d) None of the above.

Ashok Prajapati
Ashok Prajapati
Numerade Educator
03:26

Problem 66

A bar is subjected to equal and opposite forces as shown in the figure. $P Q$ is a plane making angle $\theta$ with the cross-section of the bar. If the area of cross-section be ' $a$ ', then what is the tensile stress on $P Q$ ?

Akshaya Rs
Akshaya Rs
Numerade Educator