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Physics M.C.Q (1 Marks)

Electromagnetic Induction · Rajasthan Board (RBSE) STD 12 Science (Rajasthan - English Medium). 356 questions.

Questions · Page 1 of 8

M.C.Q (1 Marks)

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50 questions · 41 auto-graded MCQ + 9 self-marked written.

MCQ 11 Mark
A magnet is made to oscillate with a particular frequency, passing through a coil as shown in figure. The time variation of the magnitude of $e.m.f.$ generated across the coil during one cycle is
  • ✓
  • B
     
  • C
  • D
Answer
Correct option: A.
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MCQ 21 Mark
A conducting rod of length $2l$ is rotating with constant angular speed $w$ about its perpendicular bisector. A uniform magnetic field $\vec{B}$  exists parallel to the axis of rotation. The $e.m.f.$ induced between two ends of the rod is
  • A
    $B \omega^{l^2}$
  • B
    $\frac{1}{2} B \omega^{l^2}$
  • C
    $\frac{1}{8} B \omega^{l^2}$
  • ✓
    Zero
Answer
Correct option: D.
Zero
Zero
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Question 31 Mark
Assertion  :   A metal piece and a non-metal (stone) piece are dropped from the same height near earth’s surface. Both will reach the earth’s surface simultaneously.
Reason       : There is no effect of earth’s magnetic field on freely falling body.(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.(c) If assertion is true but reason is false.(d) If the assertion and reason both are false.
 
 
 
 
Answer
(d) If the assertion and reason both are false.
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MCQ 41 Mark
In a region of uniform magnetic induction $B=10^{-2}$, Tesla a circular coil of radius $30 \ cm$ and resistance $\pi^2$ ohm is rotated about an axis which is perpendicular to the direction of $B$ and which forms a diameter of the coil. If the coil rotates at $200\ rpm$ the amplitude of the alternating current induced in the coil is
  • A
    $4 \pi^2\ mA$
  • B
    $30\ mA$
  • ✓
    $6\ mA$
  • D
    $200\ mA$
Answer
Correct option: C.
$6\ mA$
$6\ mA$
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MCQ 51 Mark
An inductor, $L$ a resistance $R$ and two identical bulbs $,\mathrm{B}_1$ and $\mathrm{B}_2$ are connected to a battery through a switch $S$ as shown in the figure. The resistance $R$ is the same as that of the coil that makes $L .$ Which of the following statements gives the correct description of the happenings when the switch $S$ is closed
  • A
    The bulb $B_2$ lights up earlier than $B_1$ and finally both the bulbs shine equally bright
  • B
    $B_1$ light up earlier and finally both the bulbs acquire equal brightness
  • ✓
    $B_2$ lights up earlier and finally $B_1$ shines brighter than $B_{2}$
  • D
    $B_1$ and $B_2$ light up together with equal brightness all the time
Answer
Correct option: C.
$B_2$ lights up earlier and finally $B_1$ shines brighter than $B_{2}$
$B_2$ lights up earlier and finally $B_1$ shines brighter than $B_{2}$
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MCQ 61 Mark
A square loop of side $5 \ cm$ enters a magnetic field with $1 \ cms^{-1}.$ The front edge enters the magnetic field at $t = 0$ then which graph best depicts $emf$
  • A
  • B
  • ✓
  • D
Answer
Correct option: C.
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MCQ 71 Mark
A rectangular loop with a sliding connector of length $l = 1.0 m$ is situated in a uniform magnetic field $B = 2T$ perpendicular to the plane of loop. Resistance of connector is $r = 2W.$ Two resistance of $6W$ and $3W$ are connected as shown in figure. The external force required to keep the connector moving with a constant velocity $v = 2\ m/s$ is
  • A
    $6 N$
  • B
    $4 N$
  • ✓
    $2 N$
  • D
    $1 N$
Answer
Correct option: C.
$2 N$
$2 N$
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MCQ 81 Mark
A coil of $40\Omega$ resistance has $100$ turns and radius $6\ mm$ is connected to ammeter of resistance of $160$ ohms. Coil is placed perpendicular to the magnetic field. When coil is taken out of the field, $32\mu C$ charge flows through it. The intensity of magnetic field will be
  • A
    $6.55\ T$
  • B
    $5.66\ T$
  • C
    $0.655\ T$
  • ✓
    $0.566\ T$
Answer
Correct option: D.
$0.566\ T$
$0.566\ T$
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MCQ 91 Mark
A solenoid is $1.5 m$ long and its inner diameter is $4.0 \ cm$. It has three layers of windings of $1000$ turns each and carries a current of $2.0$ amperes. The magnetic flux for a cross$-$section of the solenoid is nearly
  • A
    $2.5 \times 10^{–7}$ weber
  • ✓
    $6.31 \times 10^{–6}$ weber
  • C
    $5.2 \times 10^{–5}$ weber
  • D
    $4.1 \times 10^{–5}$ weber
Answer
Correct option: B.
$6.31 \times 10^{–6}$ weber
$6.31 \times 10^{–6}$ weber
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MCQ 101 Mark
Switch $S$ of the circuit shown in figure. is closed at $t = 0.$ If $e$ denotes the induced

$emf$ in $L$ and $i,$ the current flowing through the circuit at time $t,$ which of the following graphs is correct 
  • A
  • B
  • ✓
  • D
Answer
Correct option: C.
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Question 111 Mark
To induce an e.m.f. in a coil, the linking magnetic flux(a) Must decrease(b) Can either increase or decrease(c) Must remain constant(d) Must increase
   
   
Answer
(b) Can either increase or decrease
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MCQ 121 Mark
The formula for induced $\text{e.m.f.}$ in a coil due to change in magnetic flux through the coil is $($here $A =$ area of the coil, $B =$ magnetic field$)$
  • A
    $e =- A \cdot \frac{ dB }{ dt }$
  • B
    $e =- B \cdot \frac{ dA }{ dt }$
  • ✓
    $e=-\frac{d}{d t}(A \cdot B)$
  • D
    $e=-\frac{d}{d t}(A \times B)$
Answer
Correct option: C.
$e=-\frac{d}{d t}(A \cdot B)$
$e=-\frac{d}{d t}(A \cdot B)$
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MCQ 131 Mark
A conducting ring is placed around the core of an electromagnet as shown in fig. When key $K$ is pressed, the ring
 
  • A
    Remain stationary
  • B
    Is attracted towards the electromagnet
  • ✓
    Jumps out of the core
  • D
    None of the above
Answer
Correct option: C.
Jumps out of the core
Jumps out of the core
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MCQ 141 Mark
In the following circuit, the bulb will become suddenly bright if
  • A
    Contact is made or broken
  • B
    Contact is made
  • ✓
    Contact is broken
  • D
    Won't become bright at all
Answer
Correct option: C.
Contact is broken
Contact is broken
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MCQ 151 Mark
In an $L–R$ circuit connected to a battery the rate at which energy is stored in the inductor is plotted against time during the growth of the current in the circuit. Which of the following best represents the resulting curve
  • ✓
  • B
  • C
  • D
Answer
Correct option: A.
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MCQ 161 Mark
The diagram below shows two coils $A$ and $B$ placed parallel to each other at a very small distance. Coil $A$ is connected to an $ac$ supply. $G$ is a very sensitive galvanometer. When the key is closed
  • A
    Constant deflection will be observed in the galvanometer for $50\ Hz$ supply
  • B
    Visible small variations will be observed in the galvanometer for $50\ Hz$ input
  • ✓
    Oscillations in the galvanometer may be observed when the input ac voltage has a frequency of $1$ to $2\ Hz$
  • D
    No variation will be observed in the galvanometer even when the input ac voltage is $1$ or $2\ Hz$
Answer
Correct option: C.
Oscillations in the galvanometer may be observed when the input ac voltage has a frequency of $1$ to $2\ Hz$
Oscillations in the galvanometer may be observed when the input ac voltage has a frequency of $1$ to $2\ Hz$
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MCQ 171 Mark
As shown in the figure, a magnet is moved with a fast speed towards a coil at rest. Due to this induced electromotive force, induced current and induced charge in the coil is $E, I$ and $Q$  respectively. If the speed of the magnet is doubled, the incorrect statement is
  • A
    $E$ increases
  • B
    $I$ increases
  • C
    $Q$ remains same
  • ✓
    $Q$ increases
Answer
Correct option: D.
$Q$ increases
$Q$ increases
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MCQ 181 Mark
An electron moves along the line$ AB,$ which lies in the same plane as a circular loop of conducting wires as shown in the diagram. What will be the direction of current induced if any, in the loop
  • A
    No current will be induced
  • B
    The current will be clockwise
  • C
    The current will be anticlockwise
  • ✓
    The current will change direction as the electron passes by
Answer
Correct option: D.
The current will change direction as the electron passes by
The current will change direction as the electron passes by
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MCQ 191 Mark
Consider the situation shown in the figure. The wire $AB$ is sliding on the fixed rails with a constant velocity. If the wire $AB$ is replaced by semicircular wire, the magnitude of the induced current will
  • A
    Increase
  • ✓
    Remain the same
  • C
    Decrease
  • D
    Increase or decrease depending on whether the semicircle bulges towards the resistance or away from it
Answer
Correct option: B.
Remain the same
Remain the same
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MCQ 201 Mark
A rectangular coil $\ce{ABCD}$ is rotated anticlockwise with a uniform angular velocity about the axis shown in diagram below. The axis of rotation of the coil as well as the magnetic field $B$ are horizontal. The induced $e.m.f.$ in the coil would be maximum when
 
  • ✓
    The plane of the coil is horizontal
  • B
    The plane of the coil makes an angle of $45^{\circ}$ with the magnetic field
  • C
    The plane of the coil is at right angles to the magnetic field
  • D
    The plane of the coil makes an angle of $30^{\circ}$ with the magnetic field
Answer
Correct option: A.
The plane of the coil is horizontal
The plane of the coil is horizontal
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MCQ 211 Mark
Pure inductance of $3.0 H$ is connected as shown below. The equivalent inductance of the circuit is
  • ✓
    $1 H$
  • B
    $2 H$
  • C
    $3 H$
  • D
    $9 H$
Answer
Correct option: A.
$1 H$
$1 H$
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MCQ 221 Mark
A solenoid has $2000$ turns wound over a length of $0.30$ metre. The area of its cross$-$section is $1.2  \times 10^{-3} m^3.$ Around its central section, a coil of $300$ turns is wound. If an initial current of $2 A$ in the solenoid is reversed in $0.25 \sec,$ then the $\text{e.m.f.}$ induced in the coil is
  • A
    $6 \times 10^{-4} V$
  • B
    $4.8 \times 10^{-3} V$
  • C
    $6 \times 10^{-2} V$
  • ✓
    $48\ mV$
Answer
Correct option: D.
$48\ mV$
$48\ mV$
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MCQ 231 Mark
The north and south poles of two identical magnets approach a coil, containing a condenser, with equal speeds from opposite sides. Then
  • A
    Plate $1$ will be negative and plate $2$ positive
  • ✓
    Plate $1$ will be positive and plate $2$ negative
  • C
    Both the plates will be positive
  • D
    Both the plates will be negative
Answer
Correct option: B.
Plate $1$ will be positive and plate $2$ negative
Plate $1$ will be positive and plate $2$ negative
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MCQ 241 Mark
A conducting square loop of side $l$ and resistance $R$ moves in its plane with a uniform velocity $v$ perpendicular to one of its sides. A magnetic induction $B$ constant in time and space, pointing perpendicular and into the plane at the loop exists everywhere with half the loop outside the field, as shown in figure. The induced $\text{e.m.f.}$ is
  • A
    Zero  
  • B
    $\text{RvB}$
  • C
    $\text{VBl/R}$
  • ✓
    $\text{VBl}$
Answer
Correct option: D.
$\text{VBl}$
$\text{VBl}$
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MCQ 251 Mark
One conducting $U$ tube can slide inside another as shown in figure, maintaining electrical contacts between the tubes. The magnetic field $B$ is perpendicular to the plane of the figure. If each tube moves towards the other at a constant sped $v$ then the emf induced in the circuit in terms of $B, l$ and $v$ where $l$ is the width of each tube, will be
  • A
    Zero
  • ✓
    $\text{2 Blv}$
  • C
    $\text{Blv}$
  • D
    $\text{-Blv}$
Answer
Correct option: B.
$\text{2 Blv}$
$\text{2 Blv}$
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MCQ 261 Mark
The current carrying wire and the rod $AB$ are in the same plane. The rod moves parallel to the wire with a velocity $v.$ Which one of the following statements is true about induced emf in the rod
  • A
    End $A$ will be at lower potential with respect to $B$
  • B
    $A$ and $B$ will be at the same potential
  • C
    There will be no induced $e.m.f.$ in the rod
  • ✓
    Potential at $A$ will be higher than that at $B$
Answer
Correct option: D.
Potential at $A$ will be higher than that at $B$
Potential at $A$ will be higher than that at $B$
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MCQ 271 Mark
An electric potential difference will be induced between the ends of the conductor shown in the diagram, when the conductor moves in the direction
  • A
    $P$
  • B
    $Q$
  • C
    $L$
  • ✓
    $M$
Answer
Correct option: D.
$M$
$M$
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MCQ 281 Mark
At a place the value of horizontal component of the earth's magnetic field $H$ is $3 \times 10^{-5}$ Weber $/ \mathrm{m}^2$. A metallic rod $AB$ of length $2 m$ placed in east$-$west direction, having the end A towards east, falls vertically downward with a constant velocity of $50 m/s.$ Which end of the rod becomes positively charged and what is the value of induced potential difference between the two ends
  • A
    End $A, 3 \times 10^{-3} \mathrm{mV}$
  • ✓
    End $\text{A, 3 mV}$
  • C
    End $B, 3 \times 10^{-3} \mathrm{mV}$
  • D
    End $\text{B, 3 mV}$
Answer
Correct option: B.
End $\text{A, 3 mV}$
End $\text{A, 3 mV}$
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MCQ 291 Mark
An aluminium ring $B$ faces an electromagnet $A.$ The current I through $A$ can be altered
  • A
    Whether $I$ increases or decreases, $B$ will not experience any force
  • B
    If $I$ decrease, $A$ will repel $B$
  • C
    If $I$ increases, $A$ will attract $B$
  • ✓
    If $I$ increases, $A$ will repel $B$
Answer
Correct option: D.
If $I$ increases, $A$ will repel $B$
If $I$ increases, $A$ will repel $B$
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MCQ 301 Mark
A coil of area $100\ cm^2$ has $500$ turns. Magnetic field of $0.1 \text { weber } / \text { metre }^2$  is perpendicular to the coil. The field is reduced to zero in $0.1$ second. The induced $\text{e.m.f.}$ in the coil is
  • A
    $1 V$
  • ✓
    $5 V$
  • C
    $50 V$
  • D
    Zero
Answer
Correct option: B.
$5 V$
$5 V$
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MCQ 311 Mark
When a magnet is pushed in and out of a circular coil $C$ connected to a very sensitive galvanometer $G$ as shown in the adjoining diagram with a frequency $v,$ then
  • A
    Constant deflection is observed in the galvanometer
  • B
    Visible small oscillations will be observed in the galvanometer if $v$ is about $50 \ Hz$
  • ✓
    Oscillations in the deflection will be observed clearly if $\mathrm{v}=1$ or $2 \ Hz$
  • D
    No variation in the deflection will be seen if $\mathrm{v}=1$ or $2 \ Hz$
Answer
Correct option: C.
Oscillations in the deflection will be observed clearly if $\mathrm{v}=1$ or $2 \ Hz$
Oscillations in the deflection will be observed clearly if $\mathrm{v}=1$ or $2 \ Hz$
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MCQ 321 Mark
A square coil $10^{-2} m^2$  area is placed perpendicular to a uniform magnetic field of intensity $10^3 wb / m ^2$. The magnetic flux through the coil is
  • ✓
    $10$ weber
  • B
    $10^{-5}$ weber
  • C
    $10^5$ weber
  • D
    $100$ weber
Answer
Correct option: A.
$10$ weber
$10$ weber
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Question 331 Mark
Assertion :   The back emf in a dc motor is maximum when the motor has just been switched on.
Reason     : When motor is switched on it has maximum speed.(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.(c) If assertion is true but reason is false.(d) If the assertion and reason both are false.
 
 
 
 
Answer
(d) If the assertion and reason both are false.
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MCQ 341 Mark
A metallic ring connected to a rod oscillates freely like a pendulum. If now a magnetic field is applied in horizontal direction so that the pendulum now swings through the field, the pendulum will
  • A
    Keep oscillating with the old time period
  • B
    Keep oscillating with a smaller time period
  • C
    Keep oscillating with a larger time period
  • ✓
    Come to rest very soon
Answer
Correct option: D.
Come to rest very soon
Come to rest very soon
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Question 351 Mark
A copper ring is held horizontally and a bar magnet is dropped through the ring with its length along the axis of the ring. The acceleration of the falling magnet while it is passing through the ring is(a) Equal to that due to gravity (b) Less than that due to gravity(c) More than that due to gravity(d) Depends on the diameter of the ring and the length of the magnet
 
 
 
 
Answer
(b) Less than that due to gravity
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Question 361 Mark
A coil having 500 square loops each of side 10 cm is placed normal to a magnetic flux which increases at the rate of 1.0 tesla/second. The induced e.m.f. in volts is(a)  0.1(b) 0.5(c)  1 (d) 5
       
Answer
(d) 5
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Question 371 Mark
A magnet is brought towards a coil (i) speedly (ii) slowly then the induced e.m.f./induced charge will be respectively(a)  More in first case / More in first case(b)  More in first case/Equal in both case(c)  Less in first case/More in second case(d)  Less in first case/Equal in both case
 
 
 
 
Answer
(b)  More in first case/Equal in both case
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MCQ 381 Mark
A metallic ring is attached with the wall of a room. When the north pole of a magnet is brought near to it, the induced current in the ring will be


  • A
    First clockwise then anticlockwise
  • B
    In clockwise direction
  • ✓
    In anticlockwise direction
  • D
    First anticlockwise then clockwise
Answer
Correct option: C.
In anticlockwise direction
In anticlockwise direction
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MCQ 391 Mark
A rectangular loop is being pulled at a constant speed $v,$ through a region of certain thickness $d,$ in which a uniform magnetic field $B$ is set up. The graph between position $x$ of the right hand edge of the loop and the induced $emf \ E$ will be
  • A
     
  • ✓
     
  • C
  • D
     
Answer
Correct option: B.
 
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MCQ 401 Mark
A horizontal loop abcd is moved across the pole pieces of a magnet as shown in fig. with a constant speed $v.$ When the edge ab of the loop enters the pole pieces at time $t = 0 \sec.$ Which one of the following graphs represents correctly the induced emf in the coil
  • A
     
  • B
     
  • C
     
  • ✓
     
Answer
Correct option: D.
 
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MCQ 411 Mark
In a coil of area $10\ cm^2$ and $10$ turns with a magnetic field directed perpendicular to the plane and is changing at the rate of $10^8$ gauss/second. The resistance of the coil is $20$ ohm. The current in the coil will be
  • ✓
    $5$ amp 
  • B
    $0.5$ amp
  • C
    $0.05$ amp
  • D
    $5 \times 10^8$ amp
Answer
Correct option: A.
$5$ amp 
$5$ amp 
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MCQ 421 Mark
A conductor of $3 m$ in length is moving perpendicularly to magnetic field of $10^{-3}$ tesla with the speed of $10^2$, then the $\text{e.m.f.}$ produced across the ends of conductor will be
  • A
    $0.03$ volt
  • ✓
    $0.3$ volt
  • C
    $3 \times 10^{-3}$ volt
  • D
    $3$ volt
Answer
Correct option: B.
$0.3$ volt
$0.3$ volt
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MCQ 431 Mark
The resistance in the following circuit is increased at a particular instant. At this instant the value of resistance is $10 \Omega$. The current in the circuit will be now
  • A
    $i=0.5 \mathrm{~A}$
  • ✓
    $i>0.5 \mathrm{~A}$
  • C
    $\mathrm{i}<0.5 \mathrm{~A}$
  • D
    $i=0$
Answer
Correct option: B.
$i>0.5 \mathrm{~A}$
$i>0.5 \mathrm{~A}$
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Question 441 Mark
A step-up transformer has transformation ratio of 3 : 2. What is the voltage in secondary if voltage in primary is 30 V (a) 45 V(b) 15 V(c) 90 V(d) 300 V
       
Answer
(a) 45 V
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MCQ 451 Mark
A coil having an area $\mathrm{A}_0$ is placed in a magnetic field which changes from $\mathrm{B}_0$ to $4 \mathrm{B}_0$ in a time interval $t.$ The $e.m.f.$ induced in the coil will be
  • ✓
    $\frac{3 \mathrm{A}_0 \mathrm{B}_0}{\mathrm{t}}$
  • B
    $\frac{4 \mathrm{A}_0 \mathrm{B}_0}{\mathrm{t}}$
  • C
    $\frac{3 \mathrm{B}_0}{\mathrm{A}_0 \mathrm{t}}$
  • D
    $\frac{4 \mathrm{B}_0}{\mathrm{A}_0 \mathrm{t}}$
Answer
Correct option: A.
$\frac{3 \mathrm{A}_0 \mathrm{B}_0}{\mathrm{t}}$
$\frac{3 \mathrm{A}_0 \mathrm{B}_0}{\mathrm{t}}$
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MCQ 461 Mark
A coil of $100$ turns and area $5$ square centimetre is placed in a magnetic field $B = 0.2 T.$ The normal to the plane of the coil makes an angle of $60^\circ$ with the direction of the magnetic field. The magnetic flux linked with the coil is
  • ✓
    $5 \times 10^{-3} wb$
  • B
    $5 \times 10^{-5} wb$
  • C
    $10^{-2} wb$
  • D
    $10^{-4} wb$
Answer
Correct option: A.
$5 \times 10^{-3} wb$
$5 \times 10^{-3} wb$
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Question 471 Mark
Lenz's law gives(a) The magnitude of the induced e.m.f.(b) The direction of the induced current(c) Both the magnitude and direction of the induced current(d) The magnitude of the induced current
 
 
 
 
Answer
(b) The direction of the induced current
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MCQ 481 Mark
The dimensions of magnetic flux are
  • A
    $\mathrm{MLT}^{-2} \mathrm{~A}^{-2}$
  • B
    $\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~A}^{-2}$
  • C
    $\mathrm{ML}^2 \mathrm{~T}^{-1} \mathrm{~A}^{-2}$
  • ✓
    $\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~A}^{-1}$
Answer
Correct option: D.
$\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~A}^{-1}$
$\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~A}^{-1}$
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Question 491 Mark
Assertion   :   Inductance coil are made of copper.
Reason       : Induced current is more in wire having less resistance.(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.(c) If assertion is true but reason is false.(d) If the assertion and reason both are false.
 
 
 
 
Answer
(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.
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MCQ 501 Mark
The magnetic field in a coil of $100$ turns and $40$ square $cm$ area is increased from $1$ Tesla to $6$ Tesla in $2$ second. The magnetic field is perpendicular to the coil. The $\text{e.m.f.}$ generated in it is
  • A
    $10^4 V$
  • B
    $1.2 V$
  • ✓
    $1.0 V $ 
  • D
    $10^{-2} V $
Answer
Correct option: C.
$1.0 V $ 
$1.0 V  $
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M.C.Q (1 Marks) - Physics STD 12 Science Questions - Vidyadip