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MCQ

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50 questions · auto-graded multiple-choice test.

MCQ 11 Mark
The following four wires are made of the same material and are at the same temperature. Which one of them has highest electrical resistance
  • Length $=50 \mathrm{~cm}$, diameter $=0.5 \mathrm{~mm}$
  • B
    Length $=100 \mathrm{~cm}$, diameter $=1 \mathrm{~mm}$
  • C
    Length $=200 \mathrm{~cm}$, diameter $=2 \mathrm{~mm}$
  • D
    Length $=300 \mathrm{~cm}$, diameter $=3 \mathrm{~mm}$
Answer
Correct option: A.
Length $=50 \mathrm{~cm}$, diameter $=0.5 \mathrm{~mm}$
Length $=50 \mathrm{~cm}$, diameter $=0.5 \mathrm{~mm}$
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MCQ 21 Mark
A wire of diameter $0.02$ metre contains $10-$ free electrons per cubic metre. For an electrical current of $100 \mathring A$, the drift velocity of the free electrons in the wire is nearly
  • A
    $1 \times 10^{-3} \mathrm{m} / \mathrm{s}$
  • B
    $5 \times 10^{-6} \mathrm{m} / \mathrm{s}$
  • $2 \times 10^{-4} . \mathrm{m} / \mathrm{s}$
  • D
    $8 \times 10 \mathrm{~m} / \mathrm{s}$
Answer
Correct option: C.
$2 \times 10^{-4} . \mathrm{m} / \mathrm{s}$
$ \text { By using } v_d=\frac{i}{n e A}=\frac{100}{10^{28} \times 1.6 \times 10^{-19} \times \frac{\pi}{4} \times(0.02)^2}$
$ =2 \times 10^{-4} \mathrm{~m} / \mathrm{sec}$
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MCQ 31 Mark
A voltmeter essentially consists of
  • A high resistance, in series with a galvanometer
  • B
    A low resistance, in series with a galvanometer
  • C
    A high resistance in parallel with a galvanometer
  • D
    A low resistance in parallel with a galvanometer
Answer
Correct option: A.
A high resistance, in series with a galvanometer
(a)
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MCQ 41 Mark
At room temperature, copper has free electron density of $8.4 \times 10^{28}$ per $\mathrm{m}^3$. The copper conductor has a cross-section of 10. $m$ and carries a current of $5.4 \mathrm{~A}$. The electron drift velocity in copper is
  • A
    $400 \mathrm{~m} / \mathrm{s}$
  • B
    $0.4 \mathrm{~m} / \mathrm{s}$
  • $0.4 \mathrm{~mm} / \mathrm{s}$
  • D
    $72 \mathrm{~m} / \mathrm{s}$
Answer
Correct option: C.
$0.4 \mathrm{~mm} / \mathrm{s}$
$V_d=\frac{i}{n A e}=\frac{5.4}{8.4 \times 10^{28} \times 10^{-6} \times 1.6 \times 10^{-19}}$
$ =0.4 \times 10^{-3} \mathrm{~m} / \mathrm{sec}=0.4 \mathrm{~mm} / \mathrm{sec} .$
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MCQ 51 Mark
A $36\  \Omega$ galvanometer is shunted by resistance of $4 \ \Omega$. The percentage of the total current, which passes through the galvanometer is
  • A
    $8 \%$
  • B
    $9 \%$
  • $10 \%$
  • D
    $91 \%$
Answer
Correct option: C.
$10 \%$
(c) $\frac{i_g}{i}=\frac{S}{G+S}=\frac{4}{36+4}=\frac{1}{10}$ i.e. $10 \%$.
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MCQ 61 Mark
A Daniel cell is balanced on $125 \mathrm{~cm}$ length of a potentiometer wire. Now the cell is short-circuited by a resistance $2 \mathrm{ohm}$ and the balance is obtained at $100 \mathrm{~cm}$. The internal resistance of the Daniel cell is
  • $0.5 \mathrm{ohm}$
  • B
    $1.5 \mathrm{ohm}$
  • C
    $1.25 \mathrm{ohm}$
  • D
    $4 / 5 \mathrm{ohm}$
Answer
Correct option: A.
$0.5 \mathrm{ohm}$
(a) $r=\left(\frac{l_1-l_2}{l_2}\right) R=\left(\frac{25}{100}\right) 2=0.5 \Omega$
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MCQ 71 Mark
Voltmeters $V$ and $V$ are connected in series across a D.C. line. $V$ reads 80 volts and has a per volt resistance of $200$ ohms. $V$ has a total resistance of $32$ kilo ohms. The line voltage is
  • A
    $120$ volts
  • B
    $160$ volts
  • C
    $220$ volts
  • $240$ volts
Answer
Correct option: D.
$240$ volts

$R_1=80 \times 200=16000 \Omega=16 k \Omega$
Current flowing through $V_1=$ Current flowing through $V_2=$
$\frac{80}{16 \times 10^3}=5 \times 10^{-3} A$
So, potential differences across $V_2$ is
$V_2=5 \times 10^{-3} \times 32 \times 10^3=160 \text { volt }$
Hence, line voltage $V=V_1+V_2=80+160=240 V$.
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MCQ 81 Mark
The conductivity of a superconductor is
  • A
    Infinite
  • B
    Very large
  • C
    Very small
  • Zero
Answer
Correct option: D.
Zero
(d) Resistivity depends only on the material of the conductor.
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MCQ 91 Mark
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
    $0.25 \Omega$
  • $0.50 \Omega$
  • C
    $0.80 \Omega$
  • D
    $1.00 \Omega$
Answer
Correct option: B.
$0.50 \Omega$
(b) $r=\left(\frac{l_1-l_2}{l_1}\right) R=0.5 \Omega$.
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MCQ 101 Mark
A microammeter has a resistance of $100 \Omega$ and full scale range of $50 \mu \mathrm{A}$. It can be used as a voltmeter or as a higher range ammeter provided a resistance is added to it. Pick the correct range and resistance combination
  • A
    $50 \mathrm{~V}$ range with $10 \mathrm{k} \Omega$ resistance in series
  • $10 \mathrm{~V}$ range with $200 \mathrm{k} \Omega$ resistance in series
  • C
    $10 \mathrm{~mA}$ range with $1 \Omega$ resistance in parallel
  • D
    $10 \mathrm{~mA}$ range with $0.1 \Omega$ resistance in parallel
Answer
Correct option: B.
$10 \mathrm{~V}$ range with $200 \mathrm{k} \Omega$ resistance in series
$10 \mathrm{~V}$ range with $200 \mathrm{k} \Omega$ resistance in series
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MCQ 111 Mark
A voltmeter of resistance $1000 \Omega$ gives full scale deflection when a current of $100 \mathrm{~mA}$ flow through it. The shunt resistance required across it to enable it to be used as an ammeter reading $1 A$ at full scale deflection is
  • A
    $10000 \Omega$
  • B
    $9000 \Omega$
  • C
    $222 \Omega$
  • $111 \Omega$
Answer
Correct option: D.
$111 \Omega$
$ \text { By using } \frac{i}{i_g}=1+\frac{G}{S} $
$ \Rightarrow \frac{i}{100 \times 10^{-3}}=1+\frac{1000}{S} \Rightarrow S=\frac{1000}{9}=111 \Omega$
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MCQ 121 Mark
In a potentiometer experiment, the galvanometer shows no deflection when a cell is connected across $60 \mathrm{~cm}$ of the potentiometer wire. If the cell is shunted by a resistance of $6 \Omega$, the balance is obtained across $50 \mathrm{~cm}$ of the wire. The internal resistance of the cell is
  • A
    $0.5 \Omega$
  • B
    $0.6 \Omega$
  • $1.2 \Omega$
  • D
    $1.5 \Omega$
Answer
Correct option: C.
$1.2 \Omega$
(c) $r=\frac{\left(l_1-l_2\right)}{l_2} \times R^{\prime}=\left(\frac{60-50}{50}\right) \times 6=1.2 \Omega$
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MCQ 131 Mark
A current of $1 \mathrm{~mA}$ is flowing through a copper wire. How many electrons will pass a given point in one second $\left[e=1.6 \times 10^{-19}\right.$Coulomb $]$
  • A
    $6.25 \times 10^{19}$
  • $6.25 \times 10^{15}$
  • C
    $6.25 \times 10^{31}$
  • D
    $6.25 \times 10^8$
Answer
Correct option: B.
$6.25 \times 10^{15}$
(b) $n=\frac{1 \times 10^{-3}}{1.6 \times 10^{-19}}=6.25 \times 10^{15}$.
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MCQ 141 Mark
A battery having $\text{e.m.f.}\ 5 V$ and internal resistance $0.5 \Omega$ is connected with a resistance of $4.5 \Omega$ then the voltage at the terminals of battery is
  • $4.5 \mathrm{~V}$
  • B
    $4 V$
  • C
    $0 \mathrm{~V}$
  • D
    $2 \mathrm{~V}$
Answer
Correct option: A.
$4.5 \mathrm{~V}$
$4.5 \mathrm{~V}$
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MCQ 151 Mark
$1.6 \mathrm{~mA}$ current is flowing in conducting wire then the number of electrons flowing per second is
  • A
    $10^{15}$
  • $10^{16}$
  • C
    $10^{-9}$
  • D
    $10^{-6}$
Answer
Correct option: B.
$10^{16}$
$i=\frac{n e}{t} \Rightarrow n=\frac{i t}{e}=\frac{1.6 \times 10^{-3} \times 1}{1.6 \times 10^{-19}}=10^{16}$.
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MCQ 161 Mark
$20 \mu \mathrm{A}$ current flows for 30 seconds in a wire, transfer of charge will be
  • A
    $2 \times 10^{-4} \mathrm{C}$
  • B
    $4 \times 10^{-4} \mathrm{C}$
  • $6 \times 10^{-4} \mathrm{C}$
  • D
    $8 \times 10^{-4} \mathrm{C}$
Answer
Correct option: C.
$6 \times 10^{-4} \mathrm{C}$
(c) $Q=i t=20 \times 10 \times 30=6 \times 10^{-4} \cdot C$
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MCQ 171 Mark
Two rods of same material and length have their electric resistance in ratio $1: 2$. When both rods are dipped in water, the correct statement will be
  • A
    $A$ has more loss of weight
  • $B$ has more loss of weight
  • C
    Both have same loss of weight
  • D
    Loss of weight will be in the ratio $1: 2$
Answer
Correct option: B.
$B$ has more loss of weight
$B$ has more loss of weight
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MCQ 181 Mark
In the diagram shown, the reading of voltmeter is $20 \mathrm{~V}$ and that of ammeter is $4 A$. The value of $R$ should be (Consider given ammeter and voltmeter are not ideal)
Image
  • A
    Equal to $5 \Omega$
  • B
    Greater from $5 \Omega$
  • Less than $5 \Omega$
  • D
    Greater or less than $5 \Omega$ depends on the material of $R$
Answer
Correct option: C.
Less than $5 \Omega$
(c) If resistance of ammeter is $r$ then$20=(R+r) 4 \Rightarrow R+r=5 \Rightarrow R<5 \Omega$
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MCQ 191 Mark
Kirchhoff's second law is based on the law of conservation of
  • A
    Charge
  • Energy
  • C
    Momentum
  • D
    Sum of mass and energy
Answer
Correct option: B.
Energy
Energy
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MCQ 201 Mark
An ammeter of $100\  \Omega$ resistance gives full deflection for the current of $10$ amp. Now the shunt resistance required to convert it into ammeter of $1$ amp. range, will be
  • A
    $10^{-4} \Omega$
  • B
    $10^{-5} \Omega$
  • $10^{-3} \Omega$
  • D
    $10^{-1} \Omega$
Answer
Correct option: C.
$10^{-3} \Omega$
(c) $\frac{i}{i_g}=1+\frac{G}{S} \Rightarrow \frac{1}{10^{-5}}=1+\frac{100}{S} \Rightarrow S \approx \frac{100}{10^5}=10^{-3} \Omega$.
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MCQ 211 Mark
Two wires $A$ and $B$ of same material and same mass have radius 2 rand $r$. If resistance of wire $A$ is $34 \Omega$, then resistance of $B$ will be
  • A
    $544 \Omega$
  • B
    $272 \Omega$
  • C
    $68 \Omega$
  • $17 \Omega$
Answer
Correct option: D.
$17 \Omega$
(d)
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MCQ 221 Mark
The resistance of $10$ metre long potentiometer wire is $1 \mathrm{ohm} /$ meter: A cell of e.m.f. $2.2$ volts and a high resistance box are connected in series to this wire. The value of resistance taken from resistance box for getting potential gradient of $2.2$ millivolt/metre will be
  • A
    $790 \Omega$
  • B
    $810 \Omega$
  • $990 \Omega$
  • D
    $1000 \Omega$
Answer
Correct option: C.
$990 \Omega$
$ \text { Potential gradient } x=\frac{V}{L}=\frac{e}{\left(R+R_h+r\right)} \cdot \frac{R}{L}$
$ \Rightarrow 2.2 \times 10^{-3}=\frac{2.2}{\left(10+R_h\right)} \times 1 \Rightarrow R^{\prime}=990 \Omega$
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MCQ 231 Mark
If the resistivity of a potentiometer wire be and area of cross section be $A$, then what will be potential gradient along the wire
  • $\frac{I \rho}{A}$
  • B
    $\frac{I}{A \rho}$
  • C
    $\frac{I A}{\rho}$
  • D
    $I A \rho$
Answer
Correct option: A.
$\frac{I \rho}{A}$
(a) Potential gradient $x=\frac{V}{L}=\frac{i R}{L}=\frac{i\left(\frac{\rho L}{A}\right)}{L}=\frac{i \rho}{A}$
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MCQ 241 Mark
A current $l$ is passing through a wire having two sections $P$ and $Q$ of uniform diameters $d$ and $d / 2$ respectively. If the mean drift velocity of electrons in sections $P$ and $Q$ is denoted by $v$ and $v_4$ respectively, then
  • A
    $v=v$
  • B
    $v=\frac{1}{2} v$
  • $v=\frac{1}{4} v_4$
  • D
    $v=2 v$
Answer
Correct option: C.
$v=\frac{1}{4} v_4$
$\text { Drift velocity } v_d=\frac{i}{n e A} \Rightarrow v_d \propto \frac{1}{A} \text { or } v_d \propto \frac{1}{d^2} $
$ \Rightarrow \frac{v_P}{v_Q}=\left(\frac{d_Q}{d_P}\right)^2=\left(\frac{d / 2}{d}\right)^2=\frac{1}{4} \Rightarrow v_P=\frac{1}{4} v_Q.$
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MCQ 251 Mark
A wire of resistance $10 \Omega$ is bent to form a circle. $P$ and $Q$ are points on the circumference of the circle dividing it into a quadrant and are connected to a Battery of $3 V$ and internal resistance $1 \Omega$ as shown in the figure. The currents in the two parts of the circle are
Image
  • $\frac{6}{23} A$ and $\frac{18}{23} A$
  • B
    $\frac{5}{26} A$ and $\frac{15}{26} \mathrm{~A}$
  • C
    $\frac{4}{25} \mathrm{~A}$ and $\frac{12}{25} \mathrm{~A}$
  • D
    $\frac{3}{25} A$ and $\frac{9}{25} A$
Answer
Correct option: A.
$\frac{6}{23} A$ and $\frac{18}{23} A$
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MCQ 261 Mark
An ammeter with internal resistance $90 \Omega$ reads $1.85 A$ when connected in a circuit containing a battery and two resistors $700 \Omega$ and $410 \Omega$ in series. Actual current will be
  • A
    $1.85 \mathrm{~A}$
  • Greater than $1.85 \mathrm{~A}$
  • C
    Less than $1.85 \mathrm{~A}$
  • D
    None of these
Answer
Correct option: B.
Greater than $1.85 \mathrm{~A}$
(b) In general, ammeter always reads less than the actual value because of its resistance.
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MCQ 271 Mark
The resistance of a wire is $R$. If the length of the wire is doubled by stretching, then the new resistance will be
  • A
    $2 R$
  • $4 R$
  • C
    $R$
  • D
    $\frac{R}{4}$
Answer
Correct option: B.
$4 R$
$4 R$
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MCQ 281 Mark
The current flowing through a coil of resistance $900 \mathrm{ohms}$ is to be reduced by $90 \%$. What value of shunt should be connected across the coil
  • A
    $90 \Omega$
  • $100 \Omega$
  • C
    $9 \Omega$
  • D
    $10 \Omega$
Answer
Correct option: B.
$100 \Omega$
$\because i_g=(100-90) \% \text { of } i=\frac{i}{10} $
$ \Rightarrow \text { Required shunt } S=\frac{G}{(n-1)}=\frac{900}{(10-1)}=100 \Omega$
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MCQ 291 Mark
There is a current of 40 ampere in a wire of $10^{-6} \mathrm{~m}^2$ area of cross-section. If the number of free electron per $\mathrm{m}^3$ is $10^{29}$, then the drift velocity will be
  • A
    $1.25 \times 10^3 \mathrm{~m} / \mathrm{s}$
  • $2.50 \times 10^{-3} \mathrm{~m} / \mathrm{s}$
  • C
    $25.0 \times 10^{-3} \mathrm{~m} / \mathrm{s}$
  • D
    $250 \times 10^{-3} \mathrm{~m} / \mathrm{s}$
Answer
Correct option: B.
$2.50 \times 10^{-3} \mathrm{~m} / \mathrm{s}$
$ V_d=\frac{i}{n e A}=\frac{40}{10^{29} \times 10^{-6} \times 1.6 \times 10^{-19}} $
$ =2.5 \times 10^{-3} \mathrm{~m} / \mathrm{sec} .$
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MCQ 301 Mark
The lead wires should have
  • Larger diameter and low resistance
  • B
    Smaller diameter and high resistance
  • C
    Smaller diameter and low resistance
  • D
    Larger diameter and high resistance
Answer
Correct option: A.
Larger diameter and low resistance
(a)
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MCQ 311 Mark
A galvanometer with a resistance of 12 gives full scale deflection when a current of $3 \mathrm{~mA}$ is passed. It is required to convert it into a voltmeter which can read up to $18 \mathrm{~V}$. the resistance to be connected is
  • A
    $6000 \Omega$
  • $5988 \Omega$
  • C
    $5000 \Omega$
  • D
    $4988 \Omega$
Answer
Correct option: B.
$5988 \Omega$
(b) $\quad R=\frac{V}{i_g}-G=\frac{18}{3 \times 10^{-3}}-12=5988 \Omega$
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MCQ 321 Mark
Electromotive force is the force, which is able to maintain a constant
  • A
    Current
  • B
    Resistance
  • C
    Power
  • Potential difference
Answer
Correct option: D.
Potential difference
(d) Resistance of each part will be $\frac{R}{n}$; such $n$ parts are joined in parallel so $R_{e q}=\frac{R}{n^2}$.
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MCQ 331 Mark
A potentiometer consists of a wire of length $4 \mathrm{~m}$ and resistance $10\ \Omega$. It is connected to cell of emf $2\ V$. The potential difference per unit length of the wire will be
  • $0.5 \mathrm{~V} / \mathrm{m}$
  • B
    $10 \mathrm{~V} / \mathrm{m}$
  • C
    $2 \mathrm{~V} / \mathrm{m}$
  • D
    $5 \mathrm{~V} / \mathrm{m}$
Answer
Correct option: A.
$0.5 \mathrm{~V} / \mathrm{m}$
(a) Potential difference per unit length $=\frac{V}{L}=\frac{2}{4}=0.5 \mathrm{~V} / \mathrm{m}$
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MCQ 341 Mark
A galvanometer coil of resistance $50 \Omega$, show full deflection of $100 \mu \mathrm{A}$. The shunt resistance to be added to the galvanometer, to work as an ammeter of range $10 \mathrm{~mA}$ is
  • A
    $5 \Omega$ in parallel
  • B
    $0.5 \Omega$ in series
  • C
    $5 \Omega$ in series
  • $0.5 \Omega$ in parallel
Answer
Correct option: D.
$0.5 \Omega$ in parallel
(d) $S=\left(\frac{i_g}{i-i_g}\right) \times G=\frac{100 \times 10^{-6}}{\left(10 \times 10^{-3}-100 \times 10^{-6}\right)} \times 50 \approx 0.5 \Omega$ (in parallel)
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MCQ 351 Mark
In the given current distribution what is the value of $I$

Image

  • A
    $3 A$
  • B
    $8 \mathrm{~A}$
  • $2 A$
  • D
    $5 A$
Answer
Correct option: C.
$2 A$
(c) From Kirchoffs junction Law$\Rightarrow 4+2+i-5-3=0 \Rightarrow i=2 A$
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MCQ 361 Mark
In the circuit given, the correct relation to a balanced Wheatstone bridge is

Image

  • A
    $\frac{P}{Q}=\frac{R}{S}$
  • B
    $\frac{P}{Q}=\frac{S}{R}$
  • $\frac{P}{R}=\frac{S}{Q}$
  • D
    None of these
Answer
Correct option: C.
$\frac{P}{R}=\frac{S}{Q}$
(c)
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MCQ 371 Mark
A cell of constant e.m.f. first connected to a resistance $R_1$ and then connected to a resistance $R_2$. If power delivered in both cases is then the internal resistance of the cell is
  • $\sqrt{R_1 R_2}$
  • B
    $\sqrt{\frac{R_1}{R_2}}$
  • C
    $\frac{R_1-R_2}{2}$
  • D
    $\frac{R_1+R_2}{2}$
Answer
Correct option: A.
$\sqrt{R_1 R_2}$
$ \text { Power dissipated }=i^2 R=\left(\frac{E}{R+r}\right)^2 R$
$ \therefore\left(\frac{E}{R_1+r}\right)^2 R_1=\left(\frac{E}{R_2+r}\right)^2 R_2$
$ \Rightarrow R_1\left(R_2^2+r_2+2 R_2 r\right)=R_2\left(R_1^2+r^2+2 R_1 r\right)$
$ \Rightarrow R_2^2 R_1+R_1 r^2+2 R_2 r=R_1^2 R_2+R_2 r^2+2 R_1 R_2 r$
$ \Rightarrow\left(R_1-R_2\right) r^2=\left(R_1-R_2\right) r^2=\left(R_1-R_2\right) R_1 R_2 $
$ \Rightarrow r=\sqrt{R_1 R_2}$
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MCQ 381 Mark
The current in a conductor varies with time $t$ as $I=2 t+3 t^2$ where $l$ is in ampere and $t$ in seconds. Electric charge flowing through a section of the conductor during $t=2 \mathrm{sec}$ to $t=3 \mathrm{sec}$ is
  • A
    $10 \mathrm{C}$
  • $24 C$
  • C
    $33 C$
  • D
    $44 C$
Answer
Correct option: B.
$24 C$
$ d Q=I d t \Rightarrow Q=\int_{t=2}^{t=3} I d t=\left[2 \int_2^3 t d t+3 \int_2^3 t^2 d t\right] $
$ =\left[t^2\right]_2^3+\left[t^3\right]_2^3=(9-4)+(27-8)=5+19=24 C .$
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MCQ 391 Mark
Consider four circuits shown in the figure below. In which circuit power dissipated is greatest (Neglect the internal resistance of the power supply)
  • A
    Image
  • B
    Image
  • Image
  • D
    Image
Answer
Correct option: C.
Image
The circuit consists of three resistances $(2 R, 2 R$ and $R)$ connected in parallel.
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MCQ 401 Mark
Resistance in the two gaps of a meter bridge are $10 \mathrm{ohm}$ and 30 ohm respectively. If the resistances are interchanged the balance point shifts by
  • A
    $33.3 \mathrm{~cm}$
  • B
    $66.67 \mathrm{~cm}$
  • C
    $25 \mathrm{~cm}$
  • $50 \mathrm{~cm}$
Answer
Correct option: D.
$50 \mathrm{~cm}$
$S=\left(\frac{100-l}{l}\right) \cdot R$ Initially, $30=\left(\frac{100-l}{l}\right) \times 10 \Rightarrow l=25 \mathrm{~cm}$
Finally, $10=\left(\frac{100-l}{l}\right) \times 30 \Rightarrow l=75 \mathrm{~cm}$
So, shift $=50 \mathrm{~cm}$.
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MCQ 411 Mark
A $50 \mathrm{ohm}$ galvanometer gets full scale deflection when a current of $0.01 A$ passes through the coil. When it is comvetted to a $10 A$ ammeter, the shunt resistance is
  • A
    $0.01 \Omega$
  • $0.05 \Omega$
  • C
    $2000 \Omega$
  • D
    $5000 \Omega$
Answer
Correct option: B.
$0.05 \Omega$
(b) $i_g=i \frac{S}{G+S} \Rightarrow \frac{0.01}{10}=\frac{5}{50+S} \Rightarrow S=\frac{50}{999}=0.05 \Omega$.
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MCQ 421 Mark
Two resistances $R_1$ and $R_2$ are joined as shown in the figure to two batteries of $\text{e.m.f}. E_1$ and $E_2$. If $E_2$ is short $-$ circuited, the current through $R_1$ isImage
  • A
    $E_1 / R_1$
  • B
    $E_2 / R_1$
  • C
    $E_2 / R_2$
  • $E_1 /\left(R_2+R_1\right)$
Answer
Correct option: D.
$E_1 /\left(R_2+R_1\right)$
$E_1 /\left(R_2+R_1\right)$
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MCQ 431 Mark
Two identical cells send the same current in $2 \Omega$ resistance, whether connected in series or in parallel. The internal resistance of the cell should be
  • A
    $1 \Omega$
  • $2 \Omega$
  • C
    $\frac{1}{2} \Omega$
  • D
    $2.5 \Omega$
Answer
Correct option: B.
$2 \Omega$
$2 \Omega$
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MCQ 441 Mark
Which one is not the correct statement
  • A
    $1$ volt $\times 1$ coulomb $=1$ joule
  • B
    $1$ volt $\times 1$ ampere $=1$ joule/ second
  • $1$ volt $\times 1$ watt $=1\ H.P$.
  • D
    Watt $-$ hour can be expressed in $\mathrm{eV}$
Answer
Correct option: C.
$1$ volt $\times 1$ watt $=1\ H.P$.
$1$ volt $\times 1$ watt $=1\  H.P$.
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MCQ 451 Mark
When a piece of aluminium wire of finite length is drawn through a series of dies to reduce its diameter to half its original value, its resistance will become
  • A
    Two times
  • B
    Four times
  • C
    Eight times
  • Sixteen times
Answer
Correct option: D.
Sixteen times
Sixteen times
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MCQ 461 Mark
The resistivity of a wire depends on its
  • A
    Length
  • B
    Area of cross-section
  • C
    Shape
  • Material
Answer
Correct option: D.
Material
Material
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MCQ 471 Mark
If only $2 \%$ of the main current is to be passed through a galvanometer of resistance $G$, then the resistance of shunt will be
  • A
    $\frac{G}{50}$
  • $\frac{G}{49}$
  • C
    $50 G$
  • D
    $49 G$
Answer
Correct option: B.
$\frac{G}{49}$
(b) $i_g=2 \%$ of $i=\frac{i}{50} \Rightarrow S=\frac{G}{(n-1)}=\frac{G}{(50-1)}=\frac{G}{49}$
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MCQ 481 Mark
The current flowing in a coil of resistance $90 \Omega$ is to be reduced by $90 \%$. What value of resistance should be connected in parallel with it
  • A
    $9 \Omega$
  • B
    $90 \Omega$
  • C
    $1000 \Omega$
  • $10 \Omega$
Answer
Correct option: D.
$10 \Omega$
(d) $i_g=\frac{i}{10} \Rightarrow$ Required shunt $S=\frac{G}{(n-1)}=\frac{90}{(10-1)}=10 \Omega$
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MCQ 491 Mark
What is the reading of voltmeter in the following figure

Image

  • A
    $3 \mathrm{~V}$
  • B
    $2 \mathrm{~V}$
  • C
    $5 \mathrm{~V}$
  • $4 \mathrm{~V}$
Answer
Correct option: D.
$4 \mathrm{~V}$
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MCQ 501 Mark
Resistance of $100 \mathrm{~cm}$ long potentiometer wire is $10 \Omega$, it is connected to a battery $(2 \mathrm{volt})$ and a resistance $R$ in series. A source of $10 \mathrm{mV}$ gives null point at $40 \mathrm{~cm}$ length, then external resistance $R$ is
  • A
    $490 \Omega$
  • $790 \Omega$
  • C
    $590 \Omega$
  • D
    $990 \Omega$
Answer
Correct option: B.
$790 \Omega$
$E=\frac{e}{\left(R+R_h+r\right)} \cdot \frac{R}{L} \times l $
$ \Rightarrow 10 \times 10^{-3}=\frac{2}{(10+R+0)} \times \frac{10}{1} \times 0.4 \Rightarrow R=790 \Omega$
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