A square loop of wire, side length ${\rm{10}}\,\,{\rm{cm}}$ is placed at angle of ${\rm{45}}^\circ $ with a magnetic field that changes uniformly from ${\rm{0}}{\rm{.1 T}}$ to zero in ${\rm{0}}{\rm{.7 s}}$. The induced current in the loop (its resistance is ${\rm{1}}\,\,{\rm{\Omega }})$ is

${\rm{1}}.{\rm{0}}\,\,{\rm{mA}}$

${\rm{2}}.{\rm{5}}\,\,{\rm{mA}}$

${\rm{3}}.{\rm{5}}\,\,{\rm{mA}}$

${\rm{4}}.{\rm{0}}\,\,{\rm{mA}}$

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NEET • PHYSICS • ELECTRO MAGNETIC INDUCTION

Electro magnetic induction practice · Mixed difficulty

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Showing 1-30 of 129 questions

1 Medium

1 of 129

Analyzing +4 | -1

Assertion (A): Whenever the magnetic flux linked with a closed coil changes there will be an induced emf as well as an induced current.

Reason (R): According to Faraday, the induced emf is inversely proportional to the rate of change of magnetic flux linked with a coil.

View answer and explanation

Correct option: C

Assertion is true but reason is false

Option C (Assertion is true but reason is false) is correct because Faraday's law states that induced emf is directly proportional to the rate of change of magnetic flux.

2 Medium

2 of 129

Understanding +4 | -1

The coefficient of mutual inductance of two coils is

6\,\,mH

. If the current flowing in one is

2\,\,ampere

, then the induced e.m.f. in the second coil will be

View answer and explanation

Correct option: D

Zero

Option D (Zero) is correct because the induced emf is proportional to the *rate of change* of current, and here the current is constant.

3 Easy

3 of 129

Understanding +4 | -1

The induced emf cannot be produced by:

View answer and explanation

Correct option: D

Maintaining large but constant current in a circuit

Option D (Maintaining large but constant current in a circuit) is correct because a constant current produces a static magnetic field, and only changing magnetic fields induce emf.

4 Medium

4 of 129

Understanding +4 | -1

Consider the statements:
(I)If magnetic field,

\mathrm{B = 0}

, then magnetic flux is also zero.
(II)If magnetic flux,

\phi = 0,

then magnetic field is also zero.

View answer and explanation

Correct option: A

(I)is true , (II) may be true

Option A ((I)is true , (II) may be true) is correct because if the magnetic field is zero, the magnetic flux is also zero. However, if the magnetic flux is zero, the magnetic field may or may not be zero.

5 Easy

5 of 129

Application +4 | -1

The coefficient of self inductance of a solenoid is 0.18 mH. If a rod of soft iron of relative permeability 900 is inserted, then the coefficient of self inductance (in mH ) will become nearly:

View answer and explanation

Correct option: A

162

Option A (162) is correct because the self-inductance increases proportionally to the relative permeability when a core is inserted.

6 Medium

6 of 129

Application +4 | -1

A uniformly wound solenoidal coil of self inductance

1.8 \times {10^{ - 4}}

H and resistance 6 Ω is broken up into two identical coils. These identical coils are then connected in parallel across a 12 V battery of negligible resistance. The time constant of the current in the circuit 

View answer and explanation

Correct option: A

3\; \times {10^{ - 5}}\,s\,

Option A (

3 \times {10^{ - 5}}\,s\,

) is correct because it is the time constant calculated using the equivalent inductance and resistance of the parallel combination.

7 Medium

7 of 129

Application +4 | -1

An electric motor runs a DC source of emf

200\,\,V

and draws a current of

10\,\,A

. If the efficiency is

40\,\,\%

, then the resistance of the armature is

View answer and explanation

Correct option: B

\mathrm{12}\,\,\mathrm{\Omega }

The correct answer is

\mathrm{12}\Omega

. The armature resistance is calculated using the efficiency formula and Ohm's law.

8 Medium

8 of 129

Remembering +4 | -1

The emf induced in the secondary coil due to unit rate of change of current in the primary is called _______

View answer and explanation

Correct option: C

Mutual induction of two coils

Option C (Mutual induction of two coils) is correct because mutual inductance is defined as the emf induced in one coil due to a unit rate of change of current in another coil.

9 Easy

9 of 129

Application +4 | -1

A big circular coil of 1000 turns and average radius 10 m is rotating about its horizontal diameter at 2 rad

{s^{ - 1}}

. If the vertical component of earth's magnetic field at that place is

2 \times {10^{ - 5}}T

and electrical resistance of the coil is 12.56

\Omega

then the maximum induced current in the coil will be:

View answer and explanation

Correct option: D

0.041666667

Option D (0.041666667) is correct because the maximum induced current is calculated using the formula I = EMF/R, where EMF = NBAω and R is the resistance.

10 Medium

10 of 129

Understanding +4 | -1

A cylindrical bar magnet is kept along the axis of a circular coil. If the magnet is rotated about its axis, then

View answer and explanation

Correct option: B

No current will be induced in a coil

Option B (No current will be induced in a coil) is correct because rotating the magnet about its axis does not change the magnetic flux through the coil.

11 Easy

11 of 129

Remembering +4 | -1

An electric generator is based on ______

View answer and explanation

Correct option: A

Faraday’s laws of electromagnetic induction

Faraday’s laws of electromagnetic induction. An electric generator works based on the principle of electromagnetic induction, where a changing magnetic field induces an electromotive force (EMF).

12 Medium

12 of 129

Analyzing +4 | -1

Spherical insulating ball and a spherical metallic ball of same size and mass are dropped from the same height. Choose the correct statement out of the following

\{

Assume negligible air friction

\}

View answer and explanation

Correct option: B

Insulating ball will reach the earth's surface earlier than the metal ball

The correct answer is Insulating ball will reach the earth's surface earlier than the metal ball. The changing magnetic flux due to the Earth's magnetic field induces eddy currents in the metal ball, creating a retarding force.

13 Hard

13 of 129

Application +4 | -1

A coil of surface area

200 \mathrm{~cm}^2

having 25 turns is held perpendicular to the magnetic field of intensity

0.02 \frac{\mathrm{Wb}}{\mathrm{m}^2}

. The resistance of the coil is

1 \Omega

. If it is removed from the magnetic field in

1 \mathrm{~s}

, the induced charge in the coil is ____

\mathrm{C}.

View answer and explanation

Correct option: B

0.01

The correct answer is

0.01

. The induced charge is calculated using Faraday's law and Ohm's law.

14 Medium

14 of 129

Analyzing +4 | -1

Assertion(A): When a charged condenser discharges through a resistor, the time taken for half the charge to be lost is always same, irrespective of the initial value of the charge.

Reason(R): The rate of decay of charge in a

CR

circuit is a linear function of time.

View answer and explanation

Correct option: C

Assertion is true but reason is false

The correct answer is Assertion is true but reason is false. The time for half the charge to be lost is constant in an RC circuit, but the decay is exponential, not linear.

15 Medium

15 of 129

Application +4 | -1

A coil having an area

{A_0}

is placed in a magnetic field which changes from

{B_0}

4{B_0}

in a time interval

t

. The e.m.f. induced in the coil will be

View answer and explanation

Correct option: A

\frac{{3{A_0}{B_0}}}{t}

Option A (

\frac{{3{A_0}{B_0}}}{t}

) is correct because the induced emf is calculated using Faraday's law, considering the change in magnetic field and the area of the coil.

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16 Medium

16 of 129

Analyzing +4 | -1

The momentum in mechanics is expressed as

m\,\, \times \,\,V

. The analogous expression in electricity is

View answer and explanation

Correct option: C

L \times i

Option C (

L \times i

) is correct because inductance (L) is analogous to mass (m) and current (i) is analogous to velocity (V) in the context of energy storage.

17 Easy

17 of 129

Understanding +4 | -1

When the rate of change of current is unity, induced emf is equal to

View answer and explanation

Correct option: C

Coefficient of self-induction

Option C (Coefficient of self-induction) is correct because the induced emf is equal to the coefficient of self-induction when the rate of change of current is unity.

18 Easy

18 of 129

Application +4 | -1

A helicopter rises vertically with a speed of

\mathrm{100 }\,\mathrm{m}{\mathrm{s}^{\mathrm{ - 1}}}

. If helicopter has length

\mathrm{10}\,\,\mathrm{m}

and horizontal component of earth’s magnetic field is

5\,\, \times {10^{ - 3}}\,\,\mathrm{Wb}{\mathrm{m}^{ - 2}}

,then the induced emf between the tip of nose and tail of helicopter is

View answer and explanation

Correct option: C

\mathrm{5}\,\,\mathrm{V}

Option C (5 V) is correct because the induced EMF is calculated using the formula EMF = vBL, where v is the velocity, B is the magnetic field, and L is the length.

19 Easy

19 of 129

Application +4 | -1

A wire of length

20 \mathrm{~cm}

is moving with a velocity of

180 \mathrm{~m} \mathrm{~min}^{-1}

perpendicular to a magnetic field. If the induced emf in the wire is

3 \mathrm{~V}

, the magnitude of the field in tesla is

View answer and explanation

Correct option: C

Option 5 (5) is correct because the magnetic field is calculated using the formula for induced emf in a moving wire, considering the length, velocity, and induced emf.

20 Medium

20 of 129

Understanding +4 | -1

If rotational velocity of a dynamo armature is doubled, then induced e.m.f. will become

View answer and explanation

Correct option: B

Two times

Option B (Two times) is correct because the induced EMF in a dynamo is directly proportional to the rotational velocity of the armature.

21 Easy

21 of 129

Application +4 | -1

A coil is places perpendicular to a magnetic field of

5000 \mathrm{~T}

. When the field is changed to

3000 \mathrm{~T}

2 \mathrm{~s}

, an induced emf of

22 \mathrm{~V}

is produced in the coil. If the diameter of the coil is

0.02 \mathrm{~m}

, then the number of turns in the coil is

View answer and explanation

Correct option: B

Option B (70) is correct because the number of turns is calculated using Faraday's law, considering the change in magnetic field and the area of the coil.

22 Medium

22 of 129

Analyzing +4 | -1

S-I: A straight conductor has practically zero inductance.

S-II: A coil of metal wire is stationary in anonuniform magnetic field. An e.m.f. is induced in the coil.

View answer and explanation

Correct option: C

S-I is correct S-II is incorrect

The correct answer is S-I is correct S-II is incorrect. A straight conductor has very low inductance, and an EMF is induced in a coil only if the magnetic field is changing.

23 Medium

23 of 129

Analyzing +4 | -1

A magnet is dropped down an infinitely long vertical copper tube

View answer and explanation

Correct option: A

The magnet moves with continuously increasing velocity and ultimately acquires a constant terminal velocity

Option A (The magnet moves with continuously increasing velocity and ultimately acquires a constant terminal velocity) is correct because as the magnet falls, eddy currents are induced in the tube, creating a retarding force that eventually balances the gravitational force, leading to terminal velocity.

24 Medium

24 of 129

Application +4 | -1

A square loop of wire, side length

\mathrm{10}\,\,\mathrm{cm}

is placed at angle of 

\mathrm{45}^\circ

with a magnetic field that changes uniformly from

\mathrm{0}\mathrm{.1 T}

to zero in

\mathrm{0}\mathrm{.7 s}

. The induced current in the loop (its resistance is

\mathrm{1}\,\,\mathrm{\Omega })

View answer and explanation

Correct option: A

\mathrm{1}.\mathrm{0}\,\,\mathrm{mA}

Option A (1.0 mA) is correct because it is calculated using Faraday's law of induction and Ohm's law, considering the changing magnetic flux through the loop.

25 Easy

25 of 129

Analyzing +4 | -1

Statement I: No current is induced in a metal loop if it is rotated in an electric field.

Statement II: The electric flux through the loop does not change with time.

View answer and explanation

Correct option: C

Statement I is true; Statement II is false

Statement I is true; Statement II is false. Statement I is true because a changing magnetic field is required for inducing current, not an electric field. Statement II is false because even though there's an electric field, the flux through the loop *does* change as it rotates.

26 Medium

26 of 129

Understanding +4 | -1

In an A.C. generator, when the plane of the armature is perpendicular to the magnetic field

View answer and explanation

Correct option: D

Magnetic flux is maximum and emf is zero

Option D (Magnetic flux is maximum and emf is zero) is correct because when the plane of the armature is perpendicular to the magnetic field, the magnetic flux through the coil is maximum, but the rate of change of flux, and therefore the induced EMF, is zero.

27 Easy

27 of 129

Understanding +4 | -1

Assertion: A metallic surface is moved in and out in magnetic field then emf is induced in it.
Reason: Eddy current will be produced in a metallic surface moving in and out of magnetic field.

View answer and explanation

Correct option: B

If both Assertion and Reason are true, but Reason is not the correct explanation of Assertion

Option B (If both Assertion and Reason are true, but Reason is not the correct explanation of Assertion) is correct because both statements are true, but the eddy currents are not the direct cause of the induced EMF.

28 Easy

28 of 129

Understanding +4 | -1

Eddy current are produced when

View answer and explanation

Correct option: A

metal is kept in varying magnetic field

Option A (metal is kept in varying magnetic field) is correct because eddy currents are induced in a conductor when it experiences a changing magnetic field.

29 Medium

29 of 129

Remembering +4 | -1

Van De graff generator is used to

View answer and explanation

Correct option: A

Create a high potential of range of few million volts

Option A (Create a high potential of range of few million volts) is correct because Van de Graaff generators are designed to accumulate charge and create very high electrostatic potentials.

30 Medium

30 of 129

Application +4 | -1

During a current change from 2 A to 4 A in 0.05 s, 8 V of emf is developed in a coil. The coefficient of self-induction is

View answer and explanation

Correct option: B

0.2 H

Option B (0.2 H) is correct because it is the calculated self-inductance using the formula relating induced emf to the rate of change of current.

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