JEE Physics

StemEZ

Chapter 12

Electric Circuits - all with Video Answers

Educators

Chapter Questions

Problem 1669

Two wires of equal lengths, equal diameters and having resistivities $\rho_{1}$ and $\rho_{2}$ are connected in series The equivalent resistivity of the combination is....
(A) $\left(\rho_{1}+\rho_{2}\right)$
(B) $(1 / 2)\left(\rho_{1}+\rho_{2}\right)$
(C) $\left\{\left(\rho_{1} \rho_{2}\right) /\left(\rho_{1}+\rho_{2}\right)\right\}$
(D) $\left.\sqrt{(} \rho_{1} \rho_{2}\right)$

Prem Bijarniya

Prem Bijarniya

Numerade Educator

Problem 1670

In the circuit shown in fig, current $\mathrm{I}_{2}=0$. The value of $\mathrm{E}$ is....
(A) $3 \mathrm{~V}$
(B) $6 \mathrm{~V}$
(C) $9 \mathrm{~V}$
(D) $12 \mathrm{~V}$

Prem Bijarniya

Numerade Educator

Problem 1671

In the circuit shown in fig, the reading of ammeter is....
(A) $1 \mathrm{~A}$
(B) $2 \mathrm{~A}$
(C) $3 \mathrm{~A}$
(D) $4 \mathrm{~A}$

Prem Bijarniya

Numerade Educator

Problem 1672

In Fig, the galvanometer shows no deflection. What is the resistance $\mathrm{X} ?$
(A) $7 \Omega$
(B) $14 \Omega$
(C) $21 \Omega$
(D) $28 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1673

Figure, shows a network of eight resistors numbered 1 To 8 , each equal to $2 \Omega$, connected to a $3 \mathrm{~V}$ battery of negligible internal resistance The current $\mathrm{I}$ in the circuit is ....
(A) $0.25 \mathrm{~A}$
(B) $0.5 \mathrm{~A}$
(C) $0.75 \mathrm{~A}$
(D) $1.0 \mathrm{~A}$

Prem Bijarniya

Numerade Educator

Problem 1674

Seven resistors, each of resistance $5 \Omega$, are connected as shown in fig, The equivalent resistance between points $\mathrm{A}$ and $B$ is....
(A) $1 \Omega$
(B) $7 \Omega$
(C) $35 \Omega$
(D) $49 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1675

Figure, shows a network of seven resistors number 1 to 7, each equal to $1 \Omega$ connection to a $4 \mathrm{~V}$ battery of negligible internal resistance The current I in the circuit is....
(A) $0.5 \mathrm{~A}$
(B) $1.5 \mathrm{~A}$
(C) $2.0 \mathrm{~A}$
(D) $3.5 \mathrm{~A}$

Prem Bijarniya

Numerade Educator

Problem 1676

In the circuit shown in fig, the effective resistance between $\mathrm{A}$ and $\mathrm{B}$ is....
(A) $R / 2$
(B) $\mathrm{R}$
(C) $2 \mathrm{R}$
(D) $4 \mathrm{R}$

Prem Bijarniya

Numerade Educator

Problem 1677

The effective resistance of a n number of resistors connected in parallel in $\mathrm{x} \mathrm{ohm}$. When one of the resistors is removed, the effective resistance becomes y ohm. The resistance of the resistor that is removed is....
(A) $\{(\mathrm{xy}) /(\mathrm{x}+\mathrm{y})\}$
(B) $\{(\mathrm{xy}) /(\mathrm{y}-\mathrm{x})\}$
(C) $(\mathrm{y}-\mathrm{x})$
(D) $\sqrt{x y}$

Prem Bijarniya

Numerade Educator

Problem 1678

The reading of the ammeter in the circuit in Fig, is ......
(A) $(3 / 5) \mathrm{A}$
(B) $(4 / 5) \mathrm{A}$
(C) $(6 / 5) \mathrm{A}$
(D) $(7 / 5) \mathrm{A}$

Prem Bijarniya

Numerade Educator

Problem 1679

Eight cells marked 1 to 8 , each of emf $5 \mathrm{~V}$ and internal resistance $0.2 \Omega$ are connected as shown in Fig, what is the reading of the ideal voltmeter $\mathrm{V}$ ?
(A) $40 \mathrm{~V}$
(B) $20 \mathrm{~V}$
(C) $5 \mathrm{~V}$
(D) zero

Prem Bijarniya

Numerade Educator

Problem 1680

In the given circuit it is observed that the current I is independent of the value of the resistance $\mathrm{R}_{6}$ Then the resistance values must satisfy (see fig)
(A) $R_{1} R_{2} R_{5}=R_{3} R_{4} R_{6}$
(B) $\left(1 / \mathrm{R}_{5}\right)+\left(1 / \mathrm{R}_{6}\right)=\left\{1 /\left(\mathrm{R}_{1}+\mathrm{R}_{2}\right)\right\}+\left\{1 /\left(\mathrm{R}_{3}+\mathrm{R}_{4}\right)\right\}$
(C) $\mathrm{R}_{1} \mathrm{R}_{4}=\mathrm{R}_{2} \mathrm{R}_{3}$
(D) $\mathrm{R}_{1} \mathrm{R}_{3}=\mathrm{R}_{2} \mathrm{R}_{4}=\mathrm{R}_{5} \mathrm{R}_{6}$

Prem Bijarniya

Numerade Educator

Problem 1681

In the potentiometer circuit shown in fig, the internal resistance of the $6 \mathrm{~V}$ battery is $1 \Omega$ and the length of the wire is $100 \mathrm{~cm}$. when $\mathrm{AD}=60 \mathrm{~cm}$, the galvanometer shows no deflection. The emf of cell $c$ is (the resistance of wire $A B$ is $2 \Omega$ )
(A) $0.7 \mathrm{~V}$
(B) $0.8 \mathrm{~V}$
(C) $0.9 \mathrm{~V}$
(D) $1.0 \mathrm{~V}$

Prem Bijarniya

Numerade Educator

Problem 1682

The potential difference through the $3 \Omega$ resistor shown in fig is....
(A) Zero
(B) $1 \mathrm{~V}$
(C) $3.5 \mathrm{~V}$
(D) $7 \mathrm{~V}$

Prem Bijarniya

Numerade Educator

Problem 1683

when a cell is connected to a resistance $R_{1}$ the rate at which heat is generated in it is the same as when the cell is connected to a resistance $\mathrm{R}_{2}\left(<\mathrm{R}_{1}\right)$ the internal resistance of the cell is....
(A) $\left(R_{1}-R_{2}\right)$
(B) $(1 / 2)\left(\mathrm{R}_{1}-\mathrm{R}_{2}\right)$
(C) $\left\{\left(\mathrm{R}_{1} \mathrm{R}_{2}\right) /\left(\mathrm{R}_{1}+\mathrm{R}_{2}\right)\right.$
(D) $\sqrt{R}_{1} R_{2}$

Prem Bijarniya

Numerade Educator

Problem 1684

A battery of internal resistance $4 \Omega$ is connected to the network of resistances as shown in fig, in order that maximum power can be delivered to the network, the value of $R$ in ohm should be.
(A) $(4 / 9)$
(B) 2
(C) $(8 / 3)$
(D) 18

Prem Bijarniya

Numerade Educator

Problem 1685

Length of a wire of resistance $R \Omega$ is increased to 10 times, so its resistance becomes $1000 \Omega$, therefore $R=\ldots .$ (The volume of the wire remains same during increase in length)
(A) $0.01 \Omega$
(B) $0.1 \Omega$
(C) $1 \Omega$
(D) $10 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1686

On applying an electric field of $5 \times 10^{-8} \mathrm{Vm}^{-1}$ across a conductor, current density through it is $2.5 \mathrm{Am}^{-2}$ The resistivity of the conductor is $\ldots .$
(A) $1 \times 10^{-8} \Omega \mathrm{m}$
(B) $2 \times 10^{-8} \Omega \mathrm{m}$
(C) $0.5 \times 10^{-8} \Omega \mathrm{m}$
(D) $12.5 \times 10^{-8} \Omega \mathrm{m}$

Prem Bijarniya

Numerade Educator

Problem 1687

Calculate net resistance between $\mathrm{A}$ and $\mathrm{B}$
(A) $(4 r / 5)$
(B) $(5 \mathrm{r} / 2)$
(C) $4 \mathrm{r}$
(D) $(5 \mathrm{r} / 4)$

Prem Bijarniya

Numerade Educator

Problem 1688

Calculate net resistance between $\mathrm{A}$ and $\mathrm{B}$
(A)
(B) $(4 r / 3)$
(C) $(3 \mathrm{r} / 4)$
(D) $2 \mathrm{r}$

Prem Bijarniya

Numerade Educator

Problem 1689

Calculate net resistance between $\mathrm{A}$ and $\mathrm{B}$
(A) $2 \mathrm{r}$
(B) $3 \mathrm{r}$
(C) $(\mathrm{r} / 2)$
(D) I

Prem Bijarniya

Numerade Educator

Problem 1690

Calculate net resistance between $\mathrm{A}$ and $\mathrm{B}$
(A) $3 \Omega$
(B) $(1 / 3) \Omega$
(C) $5 \Omega$
(D) $(1 / 5) \Omega$

Prem Bijarniya

Numerade Educator

Problem 1691

Calculate net resistance between $\mathrm{A}$ and $\mathrm{B}$
(A) $6 \Omega$
(B) $10 \Omega$
(C) $9 \Omega$
(D) $4 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1692

Calculate net resistance between $\mathrm{A}$ and $\mathrm{B}$
(A) $10 \Omega$
(B) $30 \Omega$
(C) $25 \Omega$
(D) $(1 / 25) \Omega$

Prem Bijarniya

Numerade Educator

Problem 1693

Calculate net resistance between $\mathrm{A}$ and $\mathrm{B}$
(A) $3 \Omega$
(B) $(1 / 3) \Omega$
(C) $2 \Omega$
(D) $(1 / 2) \Omega$

Prem Bijarniya

Numerade Educator

Problem 1694

A wire in a circular shape has $10 \Omega$ resistance. The resistance per one meter is $1 \Omega$ The resultant between $A \& B$ is equal to $2.4 \Omega$, then the length of the chord $\mathrm{AB}$ will be equal to
(A) $2.4$
(B) 4
(C) $4.8$
(D) 6

Prem Bijarniya

Numerade Educator

Problem 1695

The network is made of uniform wire. The resistance of portion EL is $2 \Omega$. Find the resistance of star between points $F \& C .$
(A) $0.985 \Omega$
(B) $1.25 \Omega$
(C) $1.946 \Omega$
(D) $1.485 \Omega$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1696

Area of cross-section of a copper wire is equal to area of a square of $2 \mathrm{~mm}$ length It carries a current of $8 \mathrm{~A}$ Find drift velocity of electrons (Density of free electrons in copper $\left.=8 \times 10^{28} \mathrm{~m}^{-3}\right)$
(A) $1.56 \times 10^{-2} \mathrm{~ms}^{-1}$
(B) $1.56 \times 10^{-4} \mathrm{~ms}^{-1}$
(C) $3.12 \times 10^{-2} \mathrm{~ms}^{-1}$
(D) $3.12 \times 10^{-3} \mathrm{~ms}^{-1}$

Prem Bijarniya

Numerade Educator

Problem 1697

What is the equivalent resistance across the terminals $\mathrm{A}$ and B?
(A) $(15 \mathrm{r} / 7)$
(B) $(7 r / 15)$
(C) $\{(15 \mathrm{r}) /(14)\}$
(D) $(8 \mathrm{r} / 15)$

Prem Bijarniya

Numerade Educator

Problem 1698

Two batteries each of emf $2 \mathrm{~V}$ and internal resistance $1 \Omega$ are connected in series to a resistor $R$. Maximum Possible power consumed by the resistor $=\ldots .$
(A) $3.2 \mathrm{~W}$
(B) $(16 / 9) \mathrm{W}$
(C) $(8 / 9) \mathrm{W}$
(D) $2 \mathrm{~W}$

Prem Bijarniya

Numerade Educator

Problem 1699

What is the p.d between the terminals $\mathrm{A}$ and $\mathrm{B}$ ?
(A) $12 \mathrm{~V}$
(B) $24 \mathrm{~V}$
(C) $36 \mathrm{~V}$
(D) $48 \mathrm{~V}$

Prem Bijarniya

Numerade Educator

Problem 1700

In an experiment to measure the internal resistance of a cell by a potentiometer it is found that all the balance points at a length of $2 \mathrm{~m}$ when the cell is shunted by a 5 ohm resistance and is at a length of $3 \mathrm{~m}$ when the cell is shunted by a 10 ohm resistance, the internal resistance of the cell is then:
(A) $1.5 \Omega$
(B) $10 \Omega$
(C) $15 \Omega$
(D) $1 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1701

Two wires of the metal have the same length but their crosssections are in the ratio $3: 1$ They are joined in series: The resistance of the thicker wire is $10 \Omega$. The total resistance of the combination will be
(A) 40
(B) $(40 / 3)$
(C) $(5 / 2)$
(D) 100

Prem Bijarniya

Numerade Educator

Problem 1702

What is the energy stored in the capacitor?
(A) $72 \mu \mathrm{J}$
(B) $96 \mu \mathrm{J}$
(C) $96 \mathrm{~mJ}$
(D) $96 \mathrm{MJ}$

Prem Bijarniya

Numerade Educator

Problem 1703

A wire of length $L$ is drawn such that its diameter is reduced to half of its original diameter. If the resistance of the wire were $10 \Omega$, its new resistance would be.
(A) $40 \Omega$
(B) $60 \Omega$
(C) $120 \Omega$
(D) $160 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1704

In the circuit shown, the current sources are of negligible internal resistances. What is the potential difference between the points $\mathrm{B}$ and $\mathrm{A}$ ?
(A) $-4.0 \mathrm{~V}$
(B) $4.0 \mathrm{~V}$
(C) $-8.0 \mathrm{~V}$
(D) $8.0 \mathrm{~V}$

Prem Bijarniya

Numerade Educator

Problem 1705

Which of the following has negative temperature coefficient of resistance?
(A) $\mathrm{Fe}$
(B) $\mathrm{C}$
(C) $\mathrm{Mn}$
(D) Ag

Prem Bijarniya

Numerade Educator

Problem 1706

what is the potential aross the points $\mathrm{A}$ and $\mathrm{B}$ ?
(A) $0.9 \mathrm{~V}$
(B) $1.1 \mathrm{~V}$
(C) $1.3 \mathrm{~V}$
(D) $0.7 \mathrm{~V}$

Prem Bijarniya

Numerade Educator

Problem 1707

A wire $50 \mathrm{~cm}$ long and $1 \mathrm{~mm}^{2}$ in cross-section carries a current of $4 \mathrm{~A}$ when connected to a $2 \mathrm{~V}$ battery. The resistivity of the wire is:
(A) $2 \times 10^{-7} \Omega \mathrm{m}$
(B) $5 \times 10^{-7} \Omega \mathrm{m}$
(C) $4 \times 10^{-6} \Omega \mathrm{m}$
(D) $1 \times 10^{-6} \Omega \mathrm{m}$

Prem Bijarniya

Numerade Educator

Problem 1708

A parallel combination of three resistors takes a current of $7.5 \mathrm{~A}$ form a $30 \mathrm{~V}$ supply, It the two resistors are $10 \Omega$ and $12 \Omega$ find which is the third one?
(A) $4 \Omega$
(B) $15 \Omega$
(C) $12 \Omega$
(D) $22 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1709

Six resistors of $3 \Omega$ each are connected along the sides of a hexagon and three resistors of $6 \Omega$ each are connected along $\mathrm{AC}, \mathrm{AD}$, and $\mathrm{AE}$ as shown in the figure. The equivalent resistance between $\mathrm{A}$ and $\mathrm{B}$ is equal to:
(A) $3 \Omega$
(B) $9 \Omega$
(C) $2 \Omega$
(D) $16 \Omega$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1710

The total electrical resistance between the points $\mathrm{A}$ and $\mathrm{B}$ for the circuit figure shown below is:
(A) $0 \Omega$
(B) $15 \Omega$
(C) $30 \Omega$
(D) $100 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1711

A potentiometer wire has length $10 \mathrm{~m}$ and resistance $20 \Omega$. A $2.5 \mathrm{~V}$ battery of negligible internal resistance is connected across the wire with an $80 \Omega$ series resistance. The potential gradient on the wire will be:
(A) $2.5 \times 10^{-4} \mathrm{~V} / \mathrm{cm}$
(B) $0.62 \times 10^{-4} \mathrm{~V} / \mathrm{mm}$
(C) $1 \times 10^{-5} \mathrm{~V} / \mathrm{mm}$
(D) $5 \times 10^{-5} \mathrm{~V} / \mathrm{mm}$

Prem Bijarniya

Numerade Educator

Problem 1712

The drift velocity of free electrons through a conducting wire of radius $\mathrm{r}$, carrying current $\mathrm{I}$, is $\mathrm{V}_{\mathrm{d}}$ if the same current is passed through a conductor of radius $2 \mathrm{r}$ what will be the drift velocity?
(A) $\left(\mathrm{V}_{\mathrm{d}} / 4\right)$
(B) $\mathrm{V}_{\mathrm{d}}$
(C) $2 \mathrm{~V}_{\mathrm{d}}$
(D) $24 \mathrm{~V}_{\mathrm{d}}$

Prem Bijarniya

Numerade Educator

Problem 1713

Net resistance between $\mathrm{A}$ and $\mathrm{B}$ in the given network is $\ldots$
(A) $(5 \mathrm{r} / 7)$
(B) $(7 r / 6)$
(C) $(4 r / 5)$
(D) $(6 \mathrm{r} / 7)$

Prem Bijarniya

Numerade Educator

Problem 1714

Net resistance between $\mathrm{A}$ and $\mathrm{B}$ in the given network is:
(A) $10 \Omega$
(B) $40 \Omega$
(C) $(40 / 7) \Omega$
(D) $(60 / 7) \Omega$

Prem Bijarniya

Numerade Educator

Problem 1715

A carbon resistor has a set of coaxial colored rings in the order brown, violet brown and silver. The value of resistance (in ohms) is.
(A) $(27 \times 10) \pm 5 \%$
(B) $(27 \times 10)=10 \%$
(C) $(17 \times 10)=5 \%$
(D) $(17 \times 10) \pm 10 \%$

Prem Bijarniya

Numerade Educator

Problem 1716

The figure shows two metal plates $\mathrm{A}$ and $\mathrm{B}$ which are square in shape and have same thickness $t$. The side of $B$ is twice that of A. Current flows through them in the direction as shown by the arrow marks. The ratio of resistance of $\mathrm{A}$ to that of $B$ is.
(A) $1: 2$
(B) $2: 1$
(C) $1: 1$
(D) $1: 4$

Prem Bijarniya

Numerade Educator

Problem 1717

A cross a wire of length 1 and thickness $d$, a p.d of $V$ is applied. If the p.d is doubled the drift velocity becomes....
(A) becomes double
(B) becomes half
(C) Close not change
(D) becomes Zero

Prem Bijarniya

Numerade Educator

Problem 1718

The masses of three wires of copper are in the ratio of $1: 3: 5$ and their lengths are in the ratio of $5: 3: 1$. The ratio of their electrical resistance is:
(A) $1: 1: 1$
(B) $1: 3: 5$
(C) $5: 3: 1$
(D) $125: 15: 1$

Prem Bijarniya

Numerade Educator

Problem 1719

The effective resistance between points $\mathrm{A}$ and $\mathrm{B}$ is....
(A) $\mathrm{R}$
(B) $(R / 3)$
(C) $2(\mathrm{R} / 3)$
(D) $3(\mathrm{R} / 5)$

Prem Bijarniya

Numerade Educator

Problem 1720

Two resistors when connected in parallel have an equivalent of $2 \Omega$ and when in series of $9 \Omega$ The values of the two resistors are.
(A) $2 \Omega$ and $9 \Omega$
(B) $3 \Omega$ and $6 \Omega$
(C) $4 \Omega$ and $5 \Omega$
(D) $2 \Omega$ and $7 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1721

Which is the dimensional formula for conductance from the give below?
(A) $\mathrm{M}^{1} \mathrm{~L}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{2}$
(B) $\mathrm{M}^{-1} \mathrm{~L}^{-2} \mathrm{~T}^{3} \mathrm{~A}^{2}$
(C) $\mathrm{M}^{1} \mathrm{~L}^{-3} \mathrm{~T}^{-3} \mathrm{~A}^{-2}$
(D) $\mathrm{M}^{1} \mathrm{~L}^{-3} \mathrm{~T}^{3} \mathrm{~A}^{2}$

Prem Bijarniya

Numerade Educator

Problem 1722

The given figure shows an infinite ladder network of resistances. The equivalent resistance between points $\mathrm{A}$ and $\mathrm{B}$ is.
(A) Infinite
(B) $3.73 \Omega$
(C) $2.73 \Omega$
(D) $(2 / 3) \Omega$

Prem Bijarniya

Numerade Educator

Problem 1723

Resistivity of material of a conducting wire is $4 \times 10^{-8} \Omega \mathrm{m}$ volume of the wire is $4 \mathrm{~m}^{3}$ and its resistance is $4 \Omega$ Therefore its length will be.
(A) $500 \mathrm{~m}$
(B) $5000 \mathrm{~m}$
(C) $20,000 \mathrm{~m}$
(D) $4 \times 10^{-5} \mathrm{~m}$

Prem Bijarniya

Numerade Educator

Problem 1724

Net resistance between $\mathrm{A}$ and $\mathrm{B}$ in the given network is:
(A) $(5 \mathrm{R} / 7)$
(B) $(7 R / 6)$
(C) $(4 \mathrm{R} / 5)$
(D) $(5 \mathrm{R} / 4)$

Prem Bijarniya

Numerade Educator

Problem 1725

How would you arrange 48 cells each of e.m.f $2 \mathrm{~V}$ and internal resistance $1.5 \Omega$ so as to pass maximum current through the external resistance of $2 \Omega$ ?
(A) 2 cells in 24 groups
(B) 4 cells in 12 groups
(C) 8 cells in 6 groups
(D) 3 cells in 16 groups

Prem Bijarniya

Numerade Educator

Problem 1726

How many dry cells, each of emf $1.5 \mathrm{~V}$ and internal resistance $0.5 \Omega$, much be joined in series with a resistor of $20 \Omega$ to give a current of $0.6 \mathrm{~A}$ in the circuit?
(A) 2
(B) 8
(C) 10
(D) 12

Prem Bijarniya

Numerade Educator

Problem 1727

In the arrangement of resistances shown in the figure, the potential difference between $B$ and D will be zero when the unknown resistance $\mathrm{X}$ is
(A) $4 \Omega$
(B) $2 \Omega$
(C) $3 \Omega$
(D) $6 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1728

Net resistance between $\mathrm{A}$ and $\mathrm{B}$ in the given network is:
(A) $5(\mathrm{R} / 7)$
(B) $7(\mathrm{R} / 6)$
(C) $3(\mathrm{R} / 2)$
(D) $5(\mathrm{R} / 4)$

Prem Bijarniya

Numerade Educator

Problem 1729

Two electirc bulbs whose resistances are in the ratio of $1: 2$ are connected in parallel to a constant voltage source the power dissipated in them have the ratio.
(A) $1: 2$
(B) $1.1$
(C) $2: 1$
(D) $1: 4$

Prem Bijarniya

Numerade Educator

Problem 1730

If the above two bulbs are connected in series, the power dissipated in them have the ratio:
(A) $1: 2$
(B) $1: 1$
(C) $2: 1$
(D) $1: 4$

Prem Bijarniya

Numerade Educator

Problem 1731

Net resistance between $\mathrm{A}$ and $\mathrm{B}$ in the given network is....
(A) $5(\mathrm{R} / 7)$
(B) $7(\mathrm{R} / 6)$
(C) $(4 \mathrm{R} / 5)$
(D) $(6 \mathrm{R} / 7)$

Prem Bijarniya

Numerade Educator

Problem 1732

An electric kettle has two coils. When one of them is switched on, the water in the kettle boils in 6 minutes. When the other coil is switched on, the water boils in 3 minutes If the two coils are connected in series the time taken to boil water in the kettle is:
(A) 3 minutes
(B) 6 minutes
(C) 2 minutes
(D) 9 minutes

Prem Bijarniya

Numerade Educator

Problem 1733

An electric kettle has two coils when one of these is switched
on. the water in the kettle boils in 6 minutes. When the other coil is switched on, boils in 3 minutes If the two coils are connected in parallel, the time taken to boil water in the kettle is.
(A) 3 minutes
(B) 6 minutes
(C) 2 minutes
(D) 9 minutes

Prem Bijarniya

Numerade Educator

Problem 1734

In the circuit shown, the heat produced in the $5 \mathrm{ohm}$ resistor due to current flowing through it, is 10 calories per second. Then the heat generated in the 4 ohm resistor is:
(A) 1 calorie per sec
(B) 2 calorie per sec
(C) 4 calorie per sec
(D) 3 calorie per sec

Prem Bijarniya

Numerade Educator

Problem 1735

The figures below show the motion of electron is the absence and presence of electric field in $10 \mathrm{sec}$. The drift velocity is....
(A) $10^{-5} \mathrm{~ms}^{-1}$
(B) $2 \times 10^{-5} \mathrm{~ms}^{-1}$
(C) $2 \times 10^{-4} \mathrm{~ms}^{-1}$
(D) $10^{-4} \mathrm{~ms}^{-1}$

Prem Bijarniya

Numerade Educator

Problem 1736

What is three equivalent resistance across the terminals $\mathrm{A}$ and $\mathrm{B}$ ?
(A) $\{(15 \mathrm{r}) / 7\}$
(B) $(7 r / 15)$
(C) $\{(15 \mathrm{r}) /(14)\}$
(D) $(8 \mathrm{r} / 15)$

Prem Bijarniya

Numerade Educator

Problem 1737

The reading of ammeter shown in figure is....
(A) $2.18 \mathrm{~A}$
(B) $3.28 \mathrm{~A}$
(C) $6.56 \mathrm{~A}$
(D) $1.09 \mathrm{~A}$

Prem Bijarniya

Numerade Educator

Problem 1738

The potential difference between the terminals of a battery is $10 \mathrm{~V}$ and internal resistance $1 \Omega$ drops to $8 \mathrm{~V}$ when connected across an external resistor find the resistance of the external resistor.
(A) $40 \Omega$
(B) $0.4 \Omega$
(C) $4 \mathrm{M} \Omega$
(D) $4 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1739

Two heater wires of equal length are first connected in series and then in parallel The ratio of heat produced in the two cases is
(A) $2: 1$
(B) $1: 2$
(C) $4: 1$
(D) $1: 4$

Prem Bijarniya

Numerade Educator

Problem 1740

A heater boils $1 \mathrm{~kg}$ of water in time $\mathrm{t}_{1}$ and another heater boils the same water in time $\mathrm{t}_{2}$ If both are connected in series, the combination will boil the same water in time.
(A) $\left\{\left(\mathrm{t}_{1} \mathrm{t}_{2}\right) /\left(\mathrm{t}_{2}+\mathrm{t}_{1}\right)\right\}$
(B) $\left\{\left(\mathrm{t}_{1} \mathrm{t}_{2}\right) /\left(\mathrm{t}_{1}-\mathrm{t}_{2}\right)\right\}$
(C) $\mathrm{t}_{1}+\mathrm{t}_{2}$
(D) $2\left(\mathrm{t}_{1}+\mathrm{t}_{2}\right)$

Prem Bijarniya

Numerade Educator

Problem 1741

In the circuit shown in fig, the ammeter A reads zero, If the batteries have negligible internal resistance, the value of $R$ is.
(A) $20 \Omega$
(B) $10 \Omega$
(C) $30 \Omega$
(D) $40 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1742

The drift velocity of free electrons in a conductor is $\mathrm{V}$, when a current. $I$ is flowing in it If both the radius and current are doubled, then drift velocity will be.
(A) $(\mathrm{V} / 4)$
(B) $(\mathrm{V} / 2)$
(C) $4 \mathrm{~V}$
(D) $2 \mathrm{~V}$

Prem Bijarniya

Numerade Educator

Problem 1743

Which of the following set up can be used to verify the ohm's law?

Prem Bijarniya

Numerade Educator

Problem 1744

At what temperature will the resistance of a copper wire be three times its value at $0^{\circ} \mathrm{C}$ ? (Given: temperature coefficient of resistance for copper $=4 \times 10^{-3}{ }^{\circ} \mathrm{C}^{-1}$ )
(A) $400^{\circ} \mathrm{C}$
(B) $450^{\circ} \mathrm{C}$
(C) $500^{\circ} \mathrm{C}$
(D) $550^{\circ} \mathrm{C}$

Prem Bijarniya

Numerade Educator

Problem 1745

The resistance of a copper coil is $4.64 \Omega$ at $40^{\circ} \mathrm{C}$ and $5.6 \Omega$ at $100^{\circ} \mathrm{C}$ Its resistance at $0^{\circ} \mathrm{C}$ will be
(A) $5 \Omega$
(B) $4 \Omega$
(C) $3 \Omega$
(D) $2 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1746

A circuit with an infinite no of resistance is shown in fig. the resultant resistance between $\mathrm{A}$ and $\mathrm{B}$, when $\mathrm{R}_{1}=1 \Omega$ and $\mathrm{R}_{2}=2 \Omega$ will be
(A) $4 \Omega$
(B) $1 \Omega$
(C) $2 \Omega$
(D) $3 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1747

There are n resistors having equal value of resistance $\mathrm{r}$. First they are connected in such a way that the possible minimum value of resistance is obtained. Then they are connected in such a way that possible maximum value of resistance is obtained the ratio of minimum and maximum values of resistances obtained in these way is....
(A) $(1 / n)$
(B) $\mathrm{n}$
(C) $\mathrm{n}^{2}$
(D) $\left(1 / \mathrm{n}^{2}\right)$

Prem Bijarniya

Numerade Educator

Problem 1748

Nine resistors each of resistance $R$ are connected as shown in fig. The effective resistance between $\mathrm{A}$ and $\mathrm{B}$ is.
(A) $(7 / 6) \mathrm{R}$
(B) $\mathrm{R}$
(C) $(3 / 5) \mathrm{R}$
(D) $(2 / 9) \mathrm{R}$

Prem Bijarniya

Numerade Educator

Problem 1748

Nine resistors each of resistance $R$ are connected as shown in fig. The effective resistance between $\mathrm{A}$ and $\mathrm{B}$ is.
(A) $(7 / 6) \mathrm{R}$
(B) $\mathrm{R}$
(C) $(3 / 5) \mathrm{R}$
(D) $(2 / 9) \mathrm{R}$

Prem Bijarniya

Numerade Educator

Problem 1749

60 cal heat is produced per second in a $6 \Omega$ resistance on passing electric current through the circuit as shown in the figure. The amount of heat produced per second through $3 \Omega$ resistance is $\ldots \ldots \ldots \ldots$ cal
(A) 30
(B) 60
(C) 100
(D) 120

Prem Bijarniya

Numerade Educator

Problem 1750

Temperature of a conductor increases by $5^{\circ} \mathrm{C}$ passing electric current for some time. The increase in its temperature when double current is passed through the same conductor for the same time is $\ldots \ldots \ldots .{ }^{\circ} \mathrm{C}$
(A) 10
(B) 12
(C) 16
(D) 20

Prem Bijarniya

Numerade Educator

Problem 1751

Find equivalent resistance between $\mathrm{A}$ and $\mathrm{B}$
(A) $\mathrm{R}$
(B) $(3 \mathrm{R} / 4)$
(C) $(\mathrm{R} / 2)$
(D) $2 \mathrm{R}$

Prem Bijarniya

Numerade Educator

Problem 1752

Area of cross-section of two wires of same length carrying same current is in the ratio of $1: 2$. Then the ratio of heat generated per second in the wires $=\ldots$
(A) $1: \sqrt{2}$
(B) $1: 1$
(C) $1: 4$
(D) $2: 1$

Prem Bijarniya

Numerade Educator

Problem 1753

In given circuit total power consumed is $150 \mathrm{~W}$. Then value of $\mathrm{R}=\ldots \ldots \ldots .$
(A) $2 \Omega$
(B) $6 \Omega$
(C) $5 \Omega$
(D) $4 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1754

If $\sigma_{1}, \sigma_{2}$, and $\sigma_{3}$ are the conductance's of three conductor then equivalent conductance when they are joined in series, will be.
(A) $\sigma_{1}+\sigma_{2}+\sigma_{3}$
(B) $\left(1 / \sigma_{1}\right)+\left(1 / \sigma_{2}\right)+\left(1 / \sigma_{3}\right)$
(C) $\left\{\left(\sigma_{1} \sigma_{2} \sigma_{3}\right) /\left(\sigma_{1}+\sigma_{2}+\sigma_{3}\right)\right\}$
(D) None of these.

Prem Bijarniya

Numerade Educator

Problem 1755

Formula for current flowing through a wire is $I=6 t^{2}+4 t-2$ here $\mathrm{t}$ is in second and I is an ampere. In this wire, what is the quantity of electric charge passing in time interval $1 \mathrm{sec}$ to 2 sec?
(A) $8 \mathrm{C}$
(B) $18 \mathrm{C}$
(C) $20 \mathrm{C}$
(D) $24 \mathrm{C}$

Prem Bijarniya

Numerade Educator

Problem 1756

What is current flowing through $5 \Omega$ resistor in the circuit given below?
(A) $1 \mathrm{~A}$
(B) $2 \mathrm{~A}$
(C) $3 \mathrm{~A}$
(D) $4 \mathrm{~A}$

Prem Bijarniya

Numerade Educator

Problem 1757

When current flowing through a conductor is I, average drift velocity of free electrons is $\mathrm{V}_{\mathrm{d}}$. Now when $6 \mathrm{I}$ current is flowing through a conductor having 3 times cross sectional are of same material what will be average drift velocity of free electrons?
(A) $2 \mathrm{~V}_{\mathrm{d}}$
(B) $\left(\mathrm{V}_{\mathrm{d}} / 2\right)$
(C) $3 \mathrm{~V}_{\mathrm{d}}$
(D) $18 \mathrm{~V}_{\mathrm{d}}$

Prem Bijarniya

Numerade Educator

Problem 1758

n resistors each of resistance $r$ are connected to a battery of emf $E$ and internal resistance $r$. Then the ratio of terminal voltage to emf of battery $=\ldots$
(A) $\mathrm{n}$
(B) $\{\mathrm{n} /(\mathrm{n}+1)\}$
(C) $\{1 /(\mathrm{n}+1)\}$
(D) $\{(\mathrm{n}+1) / \mathrm{n}\}$

Prem Bijarniya

Numerade Educator

Problem 1759

In a given circuit, resistance of each resistor is $r$. Then equivalent resistance between $\mathrm{A}$ and $\mathrm{D}=\ldots .$
(A) $(3 / 4) \mathrm{r}$
(B) $(2 / 3) \mathrm{r}$
(C) $(8 / 15) \mathrm{r}$
(D) $(8 / 7) \mathrm{r}$

Prem Bijarniya

Numerade Educator

Problem 1760

A wire is bent in the form of a circle of radius $4 \mathrm{~m}$ Resistance per unit length of wire is $1 / \pi \Omega / \mathrm{m}$ battery of $6 \mathrm{~V}$ is connected between $\mathrm{A}$ and $\mathrm{B} \angle \mathrm{AOB}=90^{\circ}$ Find the current through the battery
(A) $8 \mathrm{~A}$
(B) $4 \mathrm{~A}$
(C) $3 \mathrm{~A}$
(D) $9 \mathrm{~A}$

Prem Bijarniya

Numerade Educator

Problem 1761

Masses of three conductors of same material are in the proportion of $1: 2: 3$ their lengths are in the proportion of $3: 2: 1$ then their resistance will be in the proportion of...
(A) $1: 1: 1$
(B) $1: 2: 3$
(C) $9: 4: 1$
(D) 27:6:1

Prem Bijarniya

Numerade Educator

Problem 1762

Resistance of a wire at $50^{\circ} \mathrm{C}$ is $5 \Omega$, and at $100^{\circ} \mathrm{C}$ it is $6 \Omega$ find its resistance at $0^{\circ} \mathrm{C}$
(A) $4 \Omega$
(B) $3 \Omega$
(C) $2 \Omega$
(D) $1 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1763

Twelve resistance cache of resistance $\mathrm{R}$ are connected in the circuit as shown in figure. Net resistance between points A and C would be.
(A) $(6 \mathrm{R} / 3)$
(B) $(7 \mathrm{R} / 6)$
(C) $\mathrm{R}$
(D) $(3 \mathrm{R} / 4)$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1764

In the figure all the seven resistances joined in the circuit have a value of $5 \Omega$ each the equivalent resistance of $A B$ is....
(A) $35 \Omega$
(B) $25 \Omega$
(C) $7 \Omega$
(D) $15 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1765

The effective resistance between the points $\mathrm{A}$ and $\mathrm{B}$ in the given network shown in figure will be.
(A) $9 \Omega$
(B) $12 \Omega$
(C) $18 \Omega$
(D) $7.5 \Omega$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1766

Thirteen resistances each of resistance $\mathrm{R} \Omega$ are connected in the circuit as shown in the figure the effective resistance between $\mathrm{A}$ and $\mathrm{B}$ is...
(A) $(2 \mathrm{R}) \Omega$
(B) $(4 \mathrm{R} / 3) \Omega$
(C) $(2 \mathrm{R} / 3) \Omega$
(D) $\mathrm{R}$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1767

Five equal resistances each of resistances $\mathrm{R}$ are connected as shown in the figure A battery of $\mathrm{V}$ volt is connected between $\mathrm{A}$ and $\mathrm{B}$. The current flowing in AFCEB will be.
(A) (3V / R)
(B) $(\mathrm{V} / \mathrm{R})$
(C) $(\mathrm{V} / 2 \mathrm{R})$
(D) $(2 \mathrm{~V} / \mathrm{R})$

Prem Bijarniya

Numerade Educator

Problem 1768

An infinite sequence of resistances is shown in the figure. The resultant resistance between $\mathrm{A}$ and $\mathrm{B}$ will be, when $\mathrm{R}_{1}=1 \mathrm{ohm}$ and $\mathrm{R}_{2}=2 \mathrm{ohm}$
(A) $3 \Omega$
(B) $2 \Omega$
(C) $1 \Omega$
(D) $1.5 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1769

Two wires of equal diameters of resistivity's $\rho_{1}$ and $\rho_{2}$ are joined in series. The equivalent resistivity of the combination is....
(A) $\left\{\left(\rho_{1} \ell_{1}+\rho_{2} \ell_{2}\right) /\left(\ell_{1}+\ell_{2}\right)\right\}$
(B) $\left\{\left(\rho_{1} \ell_{2}+\rho_{2} \ell_{1}\right) /\left(\ell_{1}-\ell_{2}\right)\right\}$
(C) $\left\{\left(\rho_{1} \ell_{2}+\rho_{2} \ell_{1}\right) /\left(\ell_{1}+\ell_{2}\right)\right\}$
(D) $\left\{\left(\rho_{1} \ell_{1}+\rho_{2} \ell_{2}\right) /\left(\ell_{1}-\ell_{2}\right)\right\}$

Prem Bijarniya

Numerade Educator

Problem 1770

Equivalent resistance between the points $\mathrm{A}$ and $\mathrm{B}$ is (in $\Omega$ )
(A) $(1 / 5) \Omega$
(B) $1(1 / 4) \Omega$
(C) $2(1 / 3) \Omega$
(D) $3(1 / 2) \Omega$

Prem Bijarniya

Numerade Educator

Problem 1771

In the whetstone bridge shown below, in order to balance the bridge we must have
(A) $R_{1}=3 \Omega, R_{2}=3 \Omega$
(B) $\mathrm{R}_{1}=6 \Omega, \mathrm{R}_{2}=15 \Omega$
(C) $\mathrm{R}_{1}=1.5 \Omega, \mathrm{R}_{2}=$ any finite value
(D) $\mathrm{R}_{1}=3 \Omega, \mathrm{R}_{2}=$ any finite value

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1772

A bulb of $300 \mathrm{~W}$ and $220 \mathrm{~V}$ is connected with a source of $110 \mathrm{~V}$. What is the $\%$ decrease in power?
(A) $100 . \%$
(B) $75 \%$
(C) $70 \%$
(D) $25 \%$

Prem Bijarniya

Numerade Educator

Problem 1773

Length of a heating filament is reduced by $20 \%$ its power will....
(A) decrease by $20 \%$
(B) Increase by $20 \%$
(C) Increase by $25 \%$
(D) Increase by $40 \%$

Prem Bijarniya

Numerade Educator

Problem 1774

What maximum power can be obtained from a battery of $\mathrm{emf} \mathrm{E}$ and internal resistance $\mathrm{r}$ connected with an external resistance $\mathrm{R}$ ?
(A) $\left(E^{2} / 4 r\right)$
(B) $\left(E^{2} / 3 r\right)$
(C) $\left(E^{2} / 2 r\right)$
(D) $\left(\mathrm{E}^{2} / \mathrm{r}\right)$

Prem Bijarniya

Numerade Educator

Problem 1775

A wire has resistance of $24 \Omega$ is bent in the following shape. The effective resistance between $\mathrm{A}$ and $\mathrm{B}$ is
(A) $24 \Omega$
(B) $10 \Omega$
(C) $(16 / 3) \Omega$
(D) None of these

Prem Bijarniya

Numerade Educator

Problem 1776

The tungsten filament of bulb has resistance equal to $18 \Omega$ at $27^{\circ} \mathrm{C}$ temperature $0.25 \mathrm{~A}$ of current flows, when $45 \mathrm{~V}$ is connected to it If $\alpha=4.5 \times 10^{-3} \mathrm{~K}^{-1}$ for a tungsten then find the temperature of the filament.
(A) $2160 \mathrm{~K}$
(B) $1800 \mathrm{~K}$
(C) $2070 \mathrm{~K}$
(D) $2300 \mathrm{~K}$

Prem Bijarniya

Numerade Educator

Problem 1777

The resistance of the wire made of silver at $27^{\circ} \mathrm{C}$ temperature is equal to $2.1 \Omega$ while at $100^{\circ} \mathrm{C}$ it is $2.7 \Omega$ calculate the temperature coefficient of the resistivity of silver. Take the reference temperature equal to $20^{\circ} \mathrm{C}$
(A) $4.02 \times 10^{-3}{ }^{\circ} \mathrm{C}^{-1}$
(B) $0.402 \times 10^{-3}{ }^{\circ} \mathrm{C}^{-1}$
(C) $40.2 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1}$
(D) $4.02 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1}$

Prem Bijarniya

Numerade Educator

Problem 1778

The temperature co-efficient of resistance of a wire is $0.00125^{\circ} \mathrm{k}^{-1}$. Its resistance is $1 \Omega$ at $300 \mathrm{~K}$. Its resistance will be $2 \Omega$ at.
(A) $1400 \mathrm{~K}$
(B) $1200 \mathrm{~K}$
(C) $1000 \mathrm{~K}$
(D) $800 \mathrm{~K}$

Prem Bijarniya

Numerade Educator

Problem 1779

Two resistances $\mathrm{R}_{1}$ and $\mathrm{R}_{2}$ have effective resistance $\mathrm{R}_{\mathrm{s}}$ when connected in sires combination and $R_{p}$ when connected in parallel combination if $\mathrm{R}_{8} \mathrm{R}_{\mathrm{p}}=16$ and $\left(\mathrm{R}_{1} / \mathrm{R}_{2}\right)=4$ the values of $\mathrm{R}_{1}$ and $\mathrm{R}_{2}$ are
(A) $2 \Omega$ and $0.5 \Omega$
(B) $1 \Omega$ and $0.25 \Omega$
(C) $8 \Omega$ and $2 \Omega$
(D) $4 \Omega$ and $1 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1780

The potential difference across $8 \Omega$ resistance is $48 \mathrm{~V}$ as shown in the figure. The value of potential differences across $\mathrm{X}$ and $\mathrm{Y}$ will be.
(A) $180 \mathrm{~V}$
(B) $160 \mathrm{~V}$
(C) $140 \mathrm{~V}$
(D) $120 \mathrm{~V}$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1781

The total current supplied to the circuit by the battery is....
(A) $1 \mathrm{~A}$
(B) $2 \mathrm{~A}$
(C) $4 \mathrm{~A}$
(D) $6 \mathrm{~A}$

Mahipal Kumawat

Mahipal Kumawat

Numerade Educator

Problem 1782

Three identical resistors connected in series with a battery, together dissipate $10 \mathrm{~W}$ of power. What will be the power dissipated, if the same resistors are connected in paralle1 across the same battery?
(A) $60 \mathrm{~W}$
(B) $30 \mathrm{~W}$
(C) $90 \mathrm{~W}$
(D) $120 \mathrm{~W}$

Prem Bijarniya

Numerade Educator

Problem 1783

If power dissipated in $5 \Omega$ resistor in $20 \mathrm{~W}$, then power dissipated across $4 \Omega$ resistor will be.
(A) $1 \mathrm{~W}$
(B) $2 \mathrm{~W}$
(C) $3 \mathrm{~W}$
(D) $4 \mathrm{~W}$

Prem Bijarniya

Numerade Educator

Problem 1784

In the given circuit, the value of current through $2 \Omega$ resistor is....
(A) $2 \mathrm{~A}$
(B) $4 \mathrm{~A}$
(C) Zero
(D) $5 \mathrm{~A}$

Prem Bijarniya

Numerade Educator

Problem 1785

A current of $3 \mathrm{~A}$ flows from $\mathrm{A}$ to $\mathrm{B}$ through the wire shown in figure If the potential at $\mathrm{A}$ is $45 \mathrm{~V}$, then the potential at $\mathrm{B}$ will be.
(A) $17 \mathrm{~V}$
(B) $9 \mathrm{~V}$
(C) $12 \mathrm{~V}$
(D) $6 \mathrm{~V}$

Prem Bijarniya

Numerade Educator

Problem 1786

In the electric circuit shown, each cell has an e.m.f of $2 \mathrm{~V}$ and internal resistance of $1 \Omega$. The external resistance is $2 \Omega$ the value of the current (I) is.
(A) $0.8 \mathrm{~A}$
(B) $0.6 \mathrm{~A}$
(C) $0.4 \mathrm{~A}$
(D) $0.1 \mathrm{~A}$

Prem Bijarniya

Numerade Educator

Problem 1787

A potentiometer wire of length $1 \mathrm{~m}$ and resistance $10 \Omega$ is connected in series with a cell of e.m.f $2 \mathrm{~V}$ with internal resistance $1 \Omega$ and a resistance box of a resistance $R$ if potential difference between ends of the wire is $1 \mathrm{~V}$ the value of $R$ is.
(A) $4.5 \Omega$
(B) $9 \Omega$
(C) $15 \Omega$
(D) $20 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1788

For a cell of e.m.f $2 \mathrm{~V}$, a balance is obtained for $50 \mathrm{~cm}$ of the potentiometer wire If the cell is shunted by a $2 \Omega$ resistor and the balance is obtained across $40 \mathrm{~cm}$ of the wire, then the internal resistance of the cell is.
(A) $1 \Omega$
(B) $0.5 \Omega$
(C) $1.2 \Omega$
(D) $2.5 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1789

For what value of $R$ the net resistance of the circuit will be 18 ohms.
(A) $8 \Omega$
(B) $10 \Omega$
(C) $16 \Omega$
(D) $24 \Omega$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1790

A circuit consists of five identical conductors as shown in figure the two similar conductors are added as indicated by the dotted lines. The ratio of resistances before and after addition will be
(A) (7/5)
(B) $(3 / 5)$
(C) $(5 / 3)$
(D) $(6 / 5)$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1791

Find the equivalent resistance a cross $\mathrm{AB}$
(A) $1 \Omega$
(B) $2 \Omega$
(C) $3 \Omega$
(D) $4 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1792

n identical cells each of e.m.f $E$ and internal resistance $r$ are connected in series An external resistance $R$ is connected in series to this combination the current through $\mathrm{R}$ is.
(A) $\{(\mathrm{nE}) /(\mathrm{R}+\mathrm{nr})\}$
(B) $\{(\mathrm{nE}) /(\mathrm{n} R+\mathrm{r})\}$
(C) $\{\mathrm{E} /(\mathrm{R}+\mathrm{nr})\}$
(D) $\{(\mathrm{nE}) /(\mathrm{R}+\mathrm{r})\}$

Prem Bijarniya

Numerade Educator

Problem 1793

4 cell each of emf $2 \mathrm{v}$ and internal resistance of $1 \Omega$ are connected in parallel to a load resistor of $2 \Omega$ Then the current through the load resistor is....
(A) $2 \mathrm{~A}$
(B) $1.5 \mathrm{~A}$
(C) $1 \mathrm{~A}$
(D) $0.888 \mathrm{~A}$

Prem Bijarniya

Numerade Educator

Problem 1794

A Potentiometer wire, $10 \mathrm{~m}$ long, has a resistance of $40 \Omega$. It is connected in series with a resistance box and a $2 \mathrm{v}$ storage cell If the potential gradient along the wire is $0.1 \mathrm{~m} \mathrm{v} / \mathrm{cm}$, the resistance unplugged in the box is.
(A) $260 \Omega$
(B) $760 \Omega$
(C) $960 \Omega$
(D) $1060 \Omega$

Narayan Hari

Numerade Educator

Problem 1795

The resistivity of a potentiometer wire is $40 \times 10^{-8} \mathrm{ohm} \mathrm{m}$ and its area of cross-section is $8 \times 10^{-6} \mathrm{~m}^{2}$. If $0.2$ amp current is flowing through the wire, the potential gradient will be.
(A) $10^{-2}$ Volt $/ \mathrm{m}$
(B) $10^{-1}$ Volt $/ \mathrm{m}$
(C) $3.2 \times 10^{-2}$ Volt $/ \mathrm{m}$
(D) 1 Volt $/ \mathrm{m}$

Prem Bijarniya

Numerade Educator

Problem 1796

Potentiometer wire of length $1 \mathrm{~m}$ is connected in series with $490 \Omega$ resistance and $2 \mathrm{v}$ battery If $0.2 \mathrm{mv} / \mathrm{cm}$ is the potential gradient, then resistance of the potentiometer wire is.
(A) $4.9 \Omega$
(B) $7.9 \Omega$
(C) $5.9 \Omega$
(D) $6.9 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1797

In the given figure, battery $E$ is balanced on $\supset 0 \mathrm{~cm}$ length of potentiometer wire but when a resistance of $10 \Omega$ is connected in parallel with the battery then it balances on $50 \mathrm{~cm}$ length of the potentiometer wire then internal resistance r of the battery is.
(A) $1 \Omega$
(B) $3 \Omega$
(C) $10 \Omega$
(D) $5 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1798

Figure shows three resistor configurations $\mathrm{R}_{1}, \mathrm{R}_{2}$ and $\mathrm{R}_{3}$ connected to $3 \mathrm{~V}$ battery If the power dissipated by the configuration $R_{1}, R_{2}$ and $R_{3}$ is $P_{1}, P_{2}$ and $P_{3}$ respectively then
(A) $\mathrm{P}_{1}>\mathrm{P}_{2}>\mathrm{P}_{3}$
(B) $\mathrm{P}_{1}>\mathrm{P}_{3}>\mathrm{P}_{2}$
(C) $\mathrm{P}_{2}>\mathrm{P}_{1}>\mathrm{P}_{3}$
(D) $\mathrm{P}_{3}>\mathrm{P}_{1}>\mathrm{P}_{1}$

Prem Bijarniya

Numerade Educator

Problem 1799

What is the equivalent resistance between the points $\mathrm{A}$ and $B$ of the network
(A) $\{(57 \Omega) / 7\}$
(B) $8 \Omega$
(C) $6 \Omega$
(D) $\{(57 \Omega) / 5\}$

Prem Bijarniya

Numerade Educator

Problem 1800

A wire of resistor $R$ is bent into a circular ring a circular ring of radius $\mathrm{r}$ Equivalent resistance between two points $\mathrm{X}$ and $\mathrm{Y}$ on its circumference, when angle xoy is $\alpha$, can be given by
(A) $\left\{(\mathrm{R} \alpha) /\left(4 \pi^{2}\right)\right\}(2 \pi-\alpha)$
(B) $(\mathrm{R} / 2 \pi)(2 \pi-\alpha)$
(C) $\mathrm{R}(2 \pi-\alpha)$
(D) $(4 \pi / \mathrm{R} \alpha)(2 \pi-\alpha)$

Prem Bijarniya

Numerade Educator

Problem 1801

Form the graph between current I and voltage $\mathrm{V}$ shown below, identity the portion corresponding to negative resistance.
(A) $\mathrm{AB}$
(B) $\mathrm{BC}$
(C) $\mathrm{CD}$
(D) DE

Prem Bijarniya

Numerade Educator

Problem 1802

Find the current in the different resistors shown in figure
(A) Zero
(B) $2 \mathrm{Amp}$.
(C) $2.2 \mathrm{Amp}$.
(D) $4 \mathrm{Amp}$.

Prem Bijarniya

Numerade Educator

Problem 1803

Find the equivalent resistance between the points a and $\mathrm{b}$ of the circuit shown in figure.
(A) $7 \Omega$
(B) $9 \Omega$
(C) $7.5 \Omega$
(D) $5 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1804

Twelve wires, each having resistance $\mathrm{r}$, are joined to form a cube as shown in figure find the equivalent resistance between the ends of a face diagonal such as a and $\mathrm{c}$.
$(\mathrm{A})(5 \mathrm{r} / 7)$
(B) $(3 \mathrm{r} / 4)$
(C) $\{(12 \mathrm{r}) / 7\}$
(D) $\left(7_{r} / 12\right)$

Prem Bijarniya

Numerade Educator

Problem 1805

Find the equivalent resistance of the network shown in figure between the points a and b.
(A) $4.1$
(B) $1.4$
(C) 2
(D) 4

Prem Bijarniya

Numerade Educator

Problem 1806

Find the current in the three resistors shown in figure.
(A) Zero
(B) $2 \mathrm{Amp}$.
(C) $1 \mathrm{Amp}$.
(D) 4 Amp.

Prem Bijarniya

Numerade Educator

Problem 1807

Find the current measured by the ammeter in the circuit shown in figure.
(A) Zero
(B) $0.4 \mathrm{~A}$.
(C) $4 \mathrm{~A}$
(D) $2 \mathrm{~A}$

Prem Bijarniya

Numerade Educator

Problem 1808

$\mathrm{A}$ and $\mathrm{B}$ are two points on a uniform ring of resistance $\mathrm{R}$ the $\angle \mathrm{AOB}=\theta_{3}$ where $\mathrm{O}$ is the centre of the ring. The equivalent resistance between $\mathrm{A}$ and $\mathrm{B}$ is.
(A) $(\mathrm{R} \theta / 2 \pi)$
(B) $[\{\mathrm{R}(2 \pi-\theta)\} /\{4 \pi\}]$
(C) $\mathrm{R}[1-(\theta / 2 \pi)]$
(D) $\left\{\mathrm{R} /\left(4 \pi^{2}\right)\right\}(2 \pi-\theta) \theta$

Prem Bijarniya

Numerade Educator

Problem 1809

The equivalent resistance between points $\mathrm{A}$ and $\mathrm{J}$ and current $\mathrm{I}$ in the following circuit will be.
(A) $15 \Omega, 0.5 \mathrm{~A}$
(B) $15 \Omega, 1 \mathrm{~A}$
(C) $12 \Omega, 0.5 \mathrm{~A}$
(D) $12 \Omega, 1 \mathrm{~A}$

Prem Bijarniya

Numerade Educator

Problem 1810

A cell supplies a current $\mathrm{I}$, through a resistance $\mathrm{R}_{1}$ and a current $\mathrm{I}_{2}$ through a resistance $\mathrm{R}_{2}$ the internal resistance of a cell is...
(A) $\mathrm{R}_{2}-\mathrm{R}_{1}$
(B) $\left\{\left(\mathrm{I}_{1}+\mathrm{I}_{2}\right) /\left(\mathrm{I}_{1}-\mathrm{I}_{2}\right)\right\} \mathrm{R}_{1} \mathrm{R}_{2}$
(C) $\left\{\left(\mathrm{I}_{1} \mathrm{R}_{2}-\mathrm{I}_{2} \mathrm{R}_{1}\right) /\left(\mathrm{I}_{1}-\mathrm{I}_{2}\right)\right\}$
(D) $\left\{\left(\mathrm{I}_{2} \mathrm{R}_{2}-\mathrm{I}_{1} \mathrm{R}_{1}\right) /\left(\mathrm{I}_{1}-\mathrm{I}_{2}\right)\right\}$

Prem Bijarniya

Numerade Educator

Problem 1811

Two wires of resistances $\mathrm{R}_{1}$ and $\mathrm{R}_{2}$ have temperature coefficient of resistances $\alpha_{1}$ and $\alpha_{2}$ respectively they are joined in series the effective temperature coefficient of resistance is ....
(A) $\left[\left(\alpha_{1}+\alpha_{2}\right) / 2\right]$
(B) $\sqrt{\alpha_{1} \alpha_{2}}$
(C) $\left[\left(\alpha_{1} R_{1}+\alpha_{2} R_{2}\right) /\left(R_{1}+R_{2}\right)\right]$
(D) $\left[\sqrt{\left(R_{1}\right.} R_{2} \alpha_{1} \alpha_{2}\right) / \sqrt{ \left.\left(R_{1}^{2}+R_{2}^{2}\right)\right]}$

Prem Bijarniya

Numerade Educator

Problem 1812

The resistance of the series combination of two resistances is $\mathrm{S}$, when they are joined in parallel the total resistance is $\mathrm{P}$ If $S=n P$, then the minimum possible value of $n$ is....
(A) 4
(B) 3
(C) 2
(D) 1

Mahipal Kumawat

Mahipal Kumawat

Numerade Educator

Problem 1813

Iwo sources of equal emt are connected to an external resistance $\mathrm{R}$. The internal resistance of the two sources are $\mathrm{R}_{1}$ and $\mathrm{R}_{2}\left(\mathrm{R}_{2}>\mathrm{R}_{1}\right)$. If the potential difference across the source having internal resistance $\mathrm{R}_{2}$ is Zero, then
(A) $R=R_{1} R_{2} /\left(R_{2}-R_{1}\right)$
(B) $R=R_{1} R_{2} /\left(R_{1}+R_{2}\right)$
(C) $R=R_{2}-R_{1}$
(D) $\mathrm{R}=\mathrm{R}_{2}\left(\mathrm{R}_{1}+\mathrm{R}_{2}\right) /\left(\mathrm{R}_{2}-\mathrm{R}_{1}\right)$

Prem Bijarniya

Numerade Educator

Problem 1814

In a wheat stone's bridge, three reststance $P, Q$ and $R$ connected in three arm a and the fourth arm is formed by two resistances $\mathrm{S}_{1}$ and $\mathrm{S}_{2}$ connected in parallel The condition for bridge to be balanced will be.
(A) $(\mathrm{P} / \mathrm{Q})=\left\{\mathrm{R} /\left(\mathrm{S}_{1}+\mathrm{S}_{2}\right)\right\}$
(B) $(\mathrm{P} / \mathrm{Q})=\left\{(2 \mathrm{R}) /\left(\mathrm{S}_{1}+\mathrm{S}_{2}\right)\right\}$
(C) $(\mathrm{P} / \mathrm{Q})=\left[\left\{\mathrm{R}\left(\mathrm{S}_{1}+\mathrm{S}_{2}\right)\right\} /\left\{\mathrm{S}_{1} \mathrm{~S}_{2}\right\}\right]$
(D) $(\mathrm{P} / \mathrm{Q})=\left[\left\{\mathrm{R}\left(\mathrm{S}_{1}+\mathrm{S}_{2}\right)\right\} /\left\{2 \mathrm{~S}_{1} \mathrm{~S}_{2}\right\}\right]$

Prem Bijarniya

Numerade Educator

Problem 1815

In the circuit shown in fig the potential difference across $3 \Omega$ is.
(A) $2 \mathrm{~V}$
(B) $4 \mathrm{~V}$
(C) $8 \mathrm{~V}$
(D) $16 \mathrm{~V}$

Prem Bijarniya

Numerade Educator

Problem 1816

In the circuit shown in fig the potential difference across $3 \Omega$ is.
(A) $2 \mathrm{~V}$
(B) $4 \mathrm{~V}$
(C) $8 \mathrm{~V}$
(D) $16 \mathrm{~V}$

Prem Bijarniya

Numerade Educator

Problem 1817

A 5 V battery with internal resistance $2 \Omega$ and $2 v$ battery with internal resistance $1 \Omega$ are connected to $10 \Omega$ resistor as shown in fig the current in $10 \Omega$ resistor is....
(A) $0.27 \mathrm{~A}, \mathrm{P}_{1}$ to $\mathrm{P}_{2}$
(B) $0.27 \mathrm{~A}, \mathrm{P}_{2}$ to $\mathrm{P}_{1}$
(C) $0.03 \mathrm{~A}, \mathrm{P}_{1}$ to $\mathrm{P}_{2}$
(D) $0.03 \mathrm{~A}, \mathrm{P}_{2}$ to $\mathrm{P}_{1}$

Prem Bijarniya

Numerade Educator

Problem 1818

In the given circuit the equivalent resistance between the points $\mathrm{A}$ and $\mathrm{B}$ in $\mathrm{ohm}$ is.
(A) 9
(B) $11.6$
(C) $14.5$
(D) $21.2$

Prem Bijarniya

Numerade Educator

Problem 1819

Resistors $P$ and $Q$ connected in the gaps of the meter bridge. the balancing point is obtained $1 / 3 \mathrm{~m}$ from the zero end. If a $6 \Omega$ resistance is connected in series with $\mathrm{p}$ the balance point shifts to $2 / 3 \mathrm{~m}$ form same end. $\mathrm{P}$ and $\mathrm{Q}$ are.
(A) 4,2
(B) 2,4
(C) both (a) and
(b)
(D) neither (a) nor (b)

Prem Bijarniya

Numerade Educator

Problem 1820

Identical resistors each of resistance $\mathrm{r}$ are connected as shown calculate equivalent resistance between $\mathrm{A}$ and $\mathrm{B}$.
(A) $0.67 \mathrm{R}$
(B) $2 \mathrm{R}$
(C) $2.1 \mathrm{R}$
(D) $\mathrm{R}$

Prem Bijarniya

Numerade Educator

Problem 1821

Eight identical resistances $\mathrm{r}$ each are connected along edges of a pyramid having square base $\mathrm{ABCD}$ as shown calculate equivalent resistance between $\mathrm{A}$ and $\mathrm{O}$.
(A) $\{(15 r) / 7\}$
(B) (7/5r)
(C) $(7 \mathrm{r} / 15)$
(D) $(5 r / 7)$

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1822

Eight identical resistances r each are connected as shown find equivalent resistance between $\mathrm{A}$ and $\mathrm{D}$
(A) $\{(15 \mathrm{r}) / 8\}$
(B) $(8 \mathrm{r} / 15)$
(C) $(15 / 7 \mathrm{r})$
(D) $(7 \mathrm{r} / 15)$

Prem Bijarniya

Numerade Educator

Problem 1823

Two conductors have the same resistance at $0^{\circ} \mathrm{C}$ but their temperature coefficients of resistances are $\alpha_{1}$ and $\alpha_{2}$ The respective temperature coefficients of their series and parallel combinations are nearly....
(A) $\alpha_{1}+\alpha_{2},\left\{\left(\alpha_{1} \alpha_{2}\right) /\left(\alpha_{1}+\alpha_{2}\right)\right\}$
(B) $\left\{\left(\alpha_{1}+\alpha_{2}\right) / 2\right\},\left\{\left(\alpha_{1}+\alpha_{2}\right) / 2\right\}$
(C) $\left\{\left(\alpha_{1}+\alpha_{2}\right) / 2\right\}, \alpha_{1}+a_{2}$
(D) $\alpha_{1}+\alpha_{2},\left\{\left(\alpha_{1}+a_{2}\right) / 2\right\}$

Prem Bijarniya

Numerade Educator

Problem 1824

Two electric bulbs marked $25 \mathrm{~W}-220 \mathrm{~V}$ and $100 \mathrm{~W}-220 \mathrm{~V}$ are connected in series to a $440 \mathrm{~V}$ supply which of the bulbs will fuse?
(A) $100 \mathrm{~W}$
(B) $25 \mathrm{~W}$
(C) None of this
(D) Both

Prem Bijarniya

Numerade Educator

Problem 1825

$2 \mathrm{~A}$ current is obtained when a $2 \Omega$ resistor is connected with battery having $r \Omega$ as internal resistance $0.5 \mathrm{~A}$ current is obtained if the above battery is connected to $9 \Omega$ resistor. Calculate the internal resistance of the battery.
(A) $0.5 \Omega$
(B) $(1 / 3) \Omega$
(C) $(1 / 4) \Omega$
(D) $1 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1826

Figure shown below the internal resistance of battery of $\mathrm{A}$ and $\mathrm{B}$ are negligible for $\mathrm{V}_{\mathrm{A}}=12 \mathrm{~V}, \mathrm{R}_{1}=500 \Omega$ and $\mathrm{R}=100 \Omega$
when the Galvanometer shows zero deflection then the value of $\mathrm{V}_{\mathrm{B}}=\ldots$
(A) $4 \mathrm{~V}$
(B) $2 \mathrm{~V}$
(C) $12 \mathrm{~V}$
(D) $6 \mathrm{~V}$

Prem Bijarniya

Numerade Educator

Problem 1827

Incandescent bulbs are designed by keeping in mind that the resistance of their filament increases with the increase in temperature It at room temperature, $100 \mathrm{w}, 60 \mathrm{w}$ and $40 \mathrm{w}$ bulbs have filament resistances $\mathrm{R}_{100}, \mathrm{R}_{60}$ and $\mathrm{R}_{40}$ respectively the relation between these resistances is
(A) $\left\{1 /\left(\mathrm{R}_{100}\right)\right\}=\left\{1 /\left(\mathrm{R}_{40}\right)\right\}+\left\{1 /\left(\mathrm{R}_{60}\right)\right\}$
(B) $\mathrm{R}_{100}=\mathrm{R}_{40}+\mathrm{R}_{60}$
(C) $\mathrm{R}_{100}>\mathrm{R}_{40}>\mathrm{R}_{60}$
(D) $\left\{1 /\left(\mathrm{R}_{100}\right)\right\}>\left\{1 /\left(\mathrm{R}_{60}\right)\right\}>\left\{1 /\left(\mathrm{R}_{40}\right)\right\}$

Prem Bijarniya

Numerade Educator

Problem 1828

To verify ohm's law, a student is provided with a test resistor $\mathrm{R}_{\mathrm{T}}$ a high resistance $\mathrm{R}_{1}$ a small resistance $\mathrm{R}_{2}$ two identical galvanometers $\mathrm{G}_{1}$ and $\mathrm{G}_{2}$ and a variable voltage source V:
the correct circuit to carry out the experiment is

Prem Bijarniya

Numerade Educator

Problem 1829

In each of the following questions, match column $\mathrm{I}$ and column II and select the correct match out of the four given choicesColumn I Column II
(a) The series combination of cells is for
(p) More current
(b) The parallel combination of cell is for
(q) More voltage
(c) In series combination of n cells, each of
(r) $\varepsilon$ $\mathrm{emf}_{\mathrm{e}}$ the effective voltage is
(d) In parallel combination of n cells, each of emf $\varepsilon$ (s) ne the effective voltage is
(A) $a-p, b-q, c-r, d-s$
(B) a - q, b-p, c-r, d - s
(C) $a-q, b-p, c-s, d-r$
(D) $a-p, b-q, c-s, d-r$

Prem Bijarniya

Numerade Educator

Problem 1830

In each of the following questions, match column $\mathrm{I}$ and column II and select the correct match out of the four given choices

Column I $\quad$ Column II
(a) The unit of electrical resistivity is
(p) $\mathrm{m}^{2} \mathrm{~S}^{-1} \mathrm{~V}^{-1}$
(b) The unit of current density is
(q) $\Omega^{-1} \mathrm{~m}^{-1}$
(c) The unit of electrical conductivity is
(r) $\mathrm{Am}^{-2}$
(d) The unit of electric mobility is
(s) $\Omega \mathrm{m}$
(A) $a-p, b-q, c-r, d-s$
(B) $a-s, b-r, c-q, d-p$
(C) $a-r, b-q, c-p, d-s$
(D) $a-q, b-r, c-s, d-p$

Prem Bijarniya

Numerade Educator

Problem 1831

For the circuit shown in figure, match the two columns.
Column I Column II
(a) Current in wire ae
(p) $1 \mathrm{~A}$
(b) Current in wire be
(q) $2 \mathrm{~A}$
(c) Current in wire ce
(r) $0.5 \Omega$
(d) Current in wire cle
(s) None of these
(A) $a-p, b-s, c-q, d-r$
(B) $a-s, b-r, c-q, d-p$
(C) $a-q, b-s, c-q, d-s$
(D) $a-s, b-q, c-p, d-r$

Prem Bijarniya

Numerade Educator

Problem 1832

Current $\mathrm{i}$ is flowing through a wire of no uniform cross section as shown match the following two columns.Column I $\quad$ Column II
(a) Current density
(p) Is more at 1
(b) Electric field
(q) Is more at 2
(c) Resistance per unit length
(r) Is same at both sections 1 and 2
(d) Potential difference per unit length
(s) data insufficient
(A) $a-p, b-p, c-p, d-p$
(B) $a-q, b-r, c-s, d-p$
(C) $a-q, b-q, c-p, d-p$
(D) $\mathrm{a}-\mathrm{p}, \mathrm{b}-\mathrm{q}, \mathrm{c}-\mathrm{r}, \mathrm{d}-\mathrm{s}$

Prem Bijarniya

Numerade Educator

Problem 1833

In the circuit show in figure, after closing the switch $\mathrm{S}$, match the following two columns.

Prem Bijarniya

Numerade Educator

Problem 1834

Match the following two columns.
Column I $\quad$ Column II
(a) Electrical resistance
(p) $\left[\mathrm{MLT}^{-2} \mathrm{~A}^{2}\right]$
(b) Electric potential
(q) $\left[\mathrm{ML}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{-2}\right]$
(c) Specific resistance
(r) $\left[\mathrm{ML}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{-1}\right]$
(d) Specific conductance
(s) None of there
(A) $a-q, b-s, c-r, d-p$
(B) $a-q, b-r, c-s, d-s$
(C) $a-p, b-q, c-s, d-r$
(D) $a-p, b-r, c-q, d-s$

Prem Bijarniya

Numerade Educator

Problem 1835

In the circuit show in figure, match the following two columns:-

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator

Problem 1836

Match the physical quantities given in column I with their dimensional formulae given in column II - I stands for the dimension of current.
$\begin{array}{ll}\text { Column I } & \text { Column II }\end{array}$
(a) Electromotive force (emf)
(p) $\mathrm{ML}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{-2}$
(b) Resistance
(q) $\mathrm{ML}^{3} \mathrm{~T}^{-3} \mathrm{~A}^{-2}$
(c) Resistivity
(r) $\mathrm{M}^{-1} \mathrm{~L}^{-3} \mathrm{~T}^{3} \mathrm{~A}^{2}$
(d) Conductivity
(s) $\mathrm{ML}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{-1}$
(A) $a-s, b-p, c-q, d-r$
(B) $a-p, b-s, c-r, d-p$
(C) $a-p, b-s, c-r, d-q$
(D) $a-r, b-p, c-q, d-s$

Prem Bijarniya

Numerade Educator

Problem 1837

The circuit shown in fig consists of the following $\mathrm{E}_{1}=6, \mathrm{E}_{2}=2, \mathrm{E}_{3}=3$ volt
$\mathrm{R}_{1}=6, \mathrm{R}_{4}=3 \mathrm{Ohm}$
$\mathrm{R}_{3}=4, \mathrm{R}_{2}=2 \mathrm{Ohm}$
$\mathrm{C}=5 \mu \mathrm{F}$$E_{1}=6 \mathrm{~V} \quad E_{2}=2 \mathrm{~V} \quad E_{3}=3 \mathrm{~V} \quad \mathrm{R}_{1}=6 \Omega$
$\mathrm{R}_{2}=2 \Omega \quad \mathrm{R}_{3}=4 \Omega \quad \mathrm{R}_{4}=3 \Omega$
The current in resistance $\mathrm{R}_{1}$ is.
(A) $0.5 \mathrm{~A}$
(B) $1.0 \mathrm{~A}$
(C) $1.5 \mathrm{~A}$
(D) Zero

Prem Bijarniya

Numerade Educator

Problem 1838

The circuit shown in fig consists of the following $E_{1}=6, E_{2}=2, E_{3}=3$ Volt
$\mathrm{R}_{1}=6, \mathrm{R}_{4}=3 \mathrm{Ohm}$
$\mathrm{R}_{3}=4, \mathrm{R}_{2}=2$ Ohm
$\mathrm{C}=5 \mu \mathrm{F}$$E_{1}=6 \mathrm{~V} \quad E_{2}=2 \mathrm{~V} \quad E_{3}=3 \mathrm{~V} \quad \mathrm{R}_{1}=6 \Omega$
$\mathrm{R}_{2}=2 \Omega \quad \mathrm{R}_{3}=4 \Omega \quad \mathrm{R}_{4}=3 \Omega$
The current through resistance $\mathrm{R}_{3}$ is.
(A) $1.5 \mathrm{~A}$
(B) $1.2 \mathrm{~A}$
(C) $0.9 \mathrm{~A}$
(D) $0.6 \mathrm{~A}$

Prem Bijarniya

Numerade Educator

Problem 1839

The circuit shown in fig consists of the following $\mathrm{E}_{1}=6, \mathrm{E}_{2}=2, \mathrm{E}_{3}=3$ Volt
$\mathrm{R}_{1}=6, \mathrm{R}_{4}=3 \mathrm{Ohm}$
$\mathrm{R}_{3}=4, \mathrm{R}_{2}=2 \mathrm{Ohm}$
$\mathrm{C}=5 \mu \mathrm{F}$$E_{1}=6 \mathrm{~V} \quad E_{2}=2 \mathrm{~V} \quad E_{3}=3 \mathrm{~V} \quad \mathrm{R}_{1}=6 \Omega$
$\mathrm{R}_{2}=2 \Omega \quad \mathrm{R}_{3}=4 \Omega \quad \mathrm{R}_{4}=3 \Omega$
The current through resistance $R_{4}$ is
(A) $0.3 \mathrm{~A}$
(B) $0.25 \mathrm{~A}$
(C) $0.2 \mathrm{~A}$
(D) Zero

Prem Bijarniya

Numerade Educator

Problem 1840

The circuit shown in fig consists of the following $E_{1}=6, E_{2}=2, E_{3}=3$ Volt
$\mathrm{R}_{1}=6, \mathrm{R}_{4}=3 \mathrm{Ohm}$
$\mathrm{R}_{3}=4, \mathrm{R}_{2}=2 \mathrm{Ohm}$
$\mathrm{C}=5 \mu \mathrm{F}$$E_{1}=6 \mathrm{~V} \quad E_{2}=2 \mathrm{~V} \quad E_{3}=3 \mathrm{~V} \quad \mathrm{R}_{1}=6 \Omega$
$R_{2}=2 \Omega \quad R_{3}=4 \Omega \quad R_{4}=3 \Omega$
The energy stored in the capacitor is.
(A) $4.8 \times 10^{-6} \mathrm{~J}$
(B) $9.6 \times 10^{-6} \mathrm{~J}$
(C) $1.44 \times 10^{-5} \mathrm{~J}$
(D) $1.92 \times 10^{-5} \mathrm{~J}$

Prem Bijarniya

Numerade Educator

Problem 1841

Figure shows four cell $\mathrm{E}, \mathrm{F}, \mathrm{G}$ and $\mathrm{H}$ of emfs $2 \mathrm{~V}, 1 \mathrm{~V}, 3 \mathrm{~V}$ and $1 \mathrm{~V}$ and internal resistances $2 \Omega, 1 \Omega, 3 \Omega$ and $1 \Omega$ respectivelyThe current flowing in the $2 \Omega$ resistor is.
$($ A $)(1 / 7) A$
(B) $(1 / 9) \mathrm{A}$
(C) $(1 / 11) \mathrm{A}$
(D) $(1 / 13) \mathrm{A}$

Prem Bijarniya

Numerade Educator

Problem 1842

Figure shows four cell $E, F, G$ and $H$ of emfs $2 V, 1 V, 3 V$ and $1 \mathrm{~V}$ and internal resistances $2 \Omega, 1 \Omega, 3 \Omega$ and $1 \Omega$ respectively

Prem Bijarniya

Numerade Educator

Problem 1843

Figure shows four cell $\mathrm{E}, \mathrm{F}, \mathrm{G}$ and $\mathrm{H}$ of emfs $2 \mathrm{~V}, 1 \mathrm{~V}, 3 \mathrm{~V}$ and $1 \mathrm{~V}$ and internal resistances $2 \Omega, 1 \Omega, 3 \Omega$ and $1 \Omega$ respectivelyThe Potential difference between the terminals of cell $\mathrm{G}$ is.
(A) Equal to $3 \mathrm{~V}$
(B) More than $3 \mathrm{~V}$
(C) Between $2 \mathrm{~V}$ and $3 \mathrm{~V}$
(D) Between $1 \mathrm{~V}$ and $1.5 \mathrm{~V}$

Prem Bijarniya

Numerade Educator

Problem 1844

Figure shows four cell $\mathrm{E}, \mathrm{F}, \mathrm{G}$ and $\mathrm{H}$ of emfs $2 \mathrm{~V}, 1 \mathrm{~V}, 3 \mathrm{~V}$ and $1 \mathrm{~V}$ and internal resistances $2 \Omega, 1 \Omega, 3 \Omega$ and $1 \Omega$ respectively

Prem Bijarniya

Numerade Educator

Problem 1845

An electrical circuit is shown in fig the values of resistances and the directions of the currents are shown A voltmeter of resistance $400 \Omega$ is connected across the $400 \Omega$ resistor. The battery has negligible internal resistance.

Prem Bijarniya

Numerade Educator

Problem 1846

An electrical circuit is shown in fig the values of resistances and the directions of the currents are shown $\mathrm{A}$ voltmeter of resistance $400 \Omega$ is connected across the $400 \Omega$ resistor. The battery has negligible internal resistance.The value of current $\mathrm{i}_{2}$ is
(A) $(1 / 30) \mathrm{A}$
(B) $(1 / 15) \mathrm{A}$
(C) $(1 / 10) \mathrm{A}$
(D) $(2 / 15) \mathrm{A}$

Prem Bijarniya

Numerade Educator

Problem 1847

An electrical circuit is shown in fig the values of resistances and the directions of the currents are shown A voltmeter of resistance $400 \Omega$ is connected across the $400 \Omega$ resistor. The battery has negligible internal resistance.The residing of the voltmeter is.
$(\mathrm{A})(10 / 3) \mathrm{V}$
(B) $5 \mathrm{~V}$
(C) $(20 / 3) \mathrm{V}$
(D) $4 \mathrm{~V}$

Prem Bijarniya

Numerade Educator

Problem 1848

The length of a potentiometer wire is $600 \mathrm{~cm}$ and it carries a current of $40 \mathrm{~m} \mathrm{~A}$ for cell of emf $2 \mathrm{~V}$ and internal resistance $10 \Omega$, the null point is found to be at $500 \mathrm{~cm}$ on connecting a voltmeter across the cell, the balancing length is decreased by $10 \mathrm{~cm}$
The voltmeter reading will be.
(A) $1.96 \mathrm{~V}$
(B) $1.8 \mathrm{~V}$
(C) $1.64 \mathrm{~V}$
(D) $0.96 \mathrm{~V}$

Prem Bijarniya

Numerade Educator

Problem 1849

The length of a potentiometer wire is $600 \mathrm{~cm}$ and it carries a current of $40 \mathrm{~m} \mathrm{~A}$ for cell of emf $2 \mathrm{~V}$ and internal resistance $10 \Omega$, the null point is found to be at $500 \mathrm{~cm}$ on connecting a voltmeter across the cell, the balancing length is decreased by $10 \mathrm{~cm}$
The resistance of the voltmeter is
(A) $500 \Omega$
(B) $290 \Omega$
(C) $49 \Omega$
(D) $20 \Omega$

Prem Bijarniya

Numerade Educator

Problem 1850

Assertion and reason are given in following questions each question has four options one of them is correct select it.
(a) Both assertion and reason are true and the reason is correct reclamation of the assertion.
(b) Both assertion and reason are true, but reason is not correct explanation of the assertion.
(c) Assertion is true, but the reason is false.
(d) Both, assertion and reason are false.
Assertion: There is no current in the metals in the absence of electric field. Reason: Motion of free electrons is random.
(A) a
(B) $b$
(C) $\mathrm{c}$
(D) $\mathrm{d}$

Prem Bijarniya

Numerade Educator

Problem 1851

Assertion and reason are given in following questions each question has four options one of them is correct select it.
(a) Both assertion and reason are true and the reason is correct reclamation of the assertion.
(b) Both assertion and reason are true, but reason is not correct explanation of the assertion.
(c) Assertion is true, but the reason is false.
(d) Both, assertion and reason are false.
Assertion: the drift velocity of electrons in a metallic wire will decrease, if the temperature of the wire is increased Reason: On increasing temperature, conductivity of metallic wire decreases.
(A) a
(B) $b$
(C) $\mathrm{c}$
(D) d

Prem Bijarniya

Numerade Educator

Problem 1852

Assertion and reason are given in following questions each question has four options one of them is correct select it.
(a) Both assertion and reason are true and the reason is correct reclamation of the assertion.
(b) Both assertion and reason are true, but reason is not correct explanation of the assertion.
(c) Assertion is true, but the reason is false.
(d) Both, assertion and reason are false.
Assertion: A potentiometer of longer length is used for accurate measurement. Reason: The potential gradient for a potentiometer of longer length with a given source of e.m.f become small.
(A) a
(B) $b$
(C)
(D) d

Prem Bijarniya

Numerade Educator

Problem 1853

Assertion and reason are given in following questions each question has four options one of them is correct select it.
(a) Both assertion and reason are true and the reason is correct reclamation of the assertion.
(b) Both assertion and reason are true, but reason is not correct explanation of the assertion.
(c) Assertion is true, but the reason is false.
(d) Both, assertion and reason are false.
Assertion: The $200 \mathrm{w}$ bulbs glow with more brightness than $100 \mathrm{w}$ bulbs. Reason: A $100 \mathrm{w}$ bulb has more resistance than a $200 \mathrm{w}$ bulb.
(A) a
(B) $b$
(C) $\mathrm{c}$
(D) $\mathrm{d}$

Prem Bijarniya

Numerade Educator

Problem 1854

Assertion and reason are given in following questions each question has four options one of them is correct select it.
(a) Both assertion and reason are true and the reason is correct reclamation of the assertion.
(b) Both assertion and reason are true, but reason is not correct explanation of the assertion.
(c) Assertion is true, but the reason is false.
(d) Both, assertion and reason are false.
Assertion: A series combination of cells is used when their internal resistance is much smaller than the external resistance. Reason: It follows from the relation $\mathrm{I}=\{(\mathrm{nE}) /(\mathrm{R}+\mathrm{nr})\}$ Where the symbols have their standard meaning.
(A) a
(B) $\mathrm{b}$
(C) $c$
(D) $\mathrm{d}$

Prem Bijarniya

Numerade Educator

Problem 1855

Assertion and reason are given in following questions each question has four options one of them is correct select it.
(a) Both assertion and reason are true and the reason is correct reclamation of the assertion.
(b) Both assertion and reason are true, but reason is not correct explanation of the assertion.
(c) Assertion is true, but the reason is false.
(d) Both, assertion and reason are false.
Assertion: When a wire is stretched to three times its length its resistance becomes 9 times. Reason: $\mathrm{R}=(\rho \ell / \mathrm{A})$
(A) a
(B) $\mathrm{b}$
(C) $\mathrm{c}$
(D) $\mathrm{d}$

Prem Bijarniya

Numerade Educator

Problem 1856

Assertion and reason are given in following questions each question has four options one of them is correct select it.
(a) Both assertion and reason are true and the reason is correct reclamation of the assertion.
(b) Both assertion and reason are true, but reason is not correct explanation of the assertion.
(c) Assertion is true, but the reason is false.
(d) Both, assertion and reason are false.
Assertion: In balanced standard wheastone bridge, $R_{A C}=[\{(P+Q)(R+S)\} /\{P+Q+R+S\}]$
Reason: This is because $\mathrm{B}$ and $\mathrm{D}$ are at the same potential.
(A) a
(B) $\mathrm{b}$
(C) $\mathrm{c}$
(D) d

Prem Bijarniya

Numerade Educator

Problem 1857

Assertion and reason are given in following questions each question has four options one of them is correct select it.
(a) Both assertion and reason are true and the reason is correct reclamation of the assertion.
(b) Both assertion and reason are true, but reason is not correct explanation of the assertion.
(c) Assertion is true, but the reason is false.
(d) Both, assertion and reason are false.
Assertion: Current $I$ is flowing through a cylindrical wire of non-uniform cross-section as shown. Section of wire near $\mathrm{A}$ will be more heated compared to the section near $\mathrm{B}$. Reason: Current density near $\mathrm{A}$ is more
(A) a
(B)b
(C) $\mathrm{c}$
(D) $\mathrm{d}$

Prem Bijarniya

Numerade Educator

Problem 1858

Assertion and reason are given in following questions each question has four options one of them is correct select it.
(a) Both assertion and reason are true and the reason is correct reclamation of the assertion.
(b) Both assertion and reason are true, but reason is not correct explanation of the assertion.
(c) Assertion is true, but the reason is false.
(d) Both, assertion and reason are false.
Assertion: In the part of a circuit show in figure, given that $\mathrm{V}_{\mathrm{b}}>\mathrm{V}_{\mathrm{a}}$ the current should flow from $\mathrm{b}$ to a Reason: Direction of current inside a battery is always form negative terminal to positive terminal.
(A) a
(B) $b$
(C) $\mathrm{c}$
(D) d

Prem Bijarniya

Numerade Educator

Problem 1859

Assertion and reason are given in following questions each question has four options one of them is correct select it.
(a) Both assertion and reason are true and the reason is correct reclamation of the assertion.
(b) Both assertion and reason are true, but reason is not correct explanation of the assertion.
(c) Assertion is true, but the reason is false.
(d) Both, assertion and reason are false.
Assertion: when temperature of a conductor is increased its resistance increases. Reason: Free electrons collide collide frequently
$(\mathrm{A}) \mathrm{a}$
(B) $b$
(C) $\mathrm{C}$
(D) d

Prem Bijarniya

Numerade Educator

Problem 1860

Assertion and reason are given in following questions each question has four options one of them is correct select it.
(a) Both assertion and reason are true and the reason is correct reclamation of the assertion.
(b) Both assertion and reason are true, but reason is not correct explanation of the assertion.
(c) Assertion is true, but the reason is false.
(d) Both, assertion and reason are false.
Assertion: In the part of the circuit shown in fig maximum power is produced across $R$. Reason: Power $\mathrm{P}=\left(\mathrm{V}^{2} / \mathrm{R}\right)$
(A) a
(B) $\mathrm{b}$
(C) $\mathrm{c}$
(D) d

Prem Bijarniya

Numerade Educator