# The radius of a loop as shown in the figure is $$10~\text{cm}.$$ If the magnetic field is uniform and has a value $$10^{-2}~ \text{T},$$ then the flux through the loop will be:              1. $$2 \pi \times 10^{-2}~\text{Wb}$$ 2. $$3 \pi \times 10^{-4}~\text{Wb}$$ 3. $$5 \pi \times 10^{-5}~\text{Wb}$$ 4. $$5 \pi \times 10^{-4}~\text{Wb}$$

Subtopic:  Magnetic Flux |
76%
From NCERT
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):

 Assertion (A): Self-inductance is called the inertia of electricity. Reason (R): It is on account of self-inductance that the coil opposes any change in current passing through it.
In the light of the above statements choose the correct answer from the options given below:
 1 Both (A) and (R) are True and (R) is the correct explanation of (A). 2 Both (A) and (R) are True but (R) is not the correct explanation of (A). 3 (A) is True but (R) is False. 4 Both (A) and (R) are False.
Subtopic:  Self - Inductance |
86%
From NCERT
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Given below are two statements:

 Assertion (A): When a piece of non-metal and a metal are dropped from the same height near the surface of the earth, the non-metallic piece will reach the ground first. Reason (R): Induced current in metal will decrease the acceleration.
 1 Both (A) and (R) are True and (R) is the correct explanation of (A). 2 Both (A) and (R) are True but (R) is not the correct explanation of (A). 3 (A) is True but (R) is False. 4 Both (A) and (R) are False.
Subtopic:  Motional emf |
84%
From NCERT
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The dimensions of inductance are:

$1.$ $\left[ML{T}^{-2}{A}^{-2}\right]$
$2.$ $\left[M{L}^{2}{T}^{-2}{A}^{2}\right]$
$3.$ $\left[M{L}^{2}{T}^{-2}{A}^{-1}\right]$
$4.$ $\left[M{L}^{2}{T}^{-2}{A}^{-2}\right]$

Subtopic:  Self - Inductance |
69%
From NCERT
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If a current is passed through a circular loop of radius $$R$$ then magnetic flux through a coplanar square loop of side $$l$$ as shown in the figure $$(l<<R)$$ is:

 1 $$\frac{\mu_{0} l}{2} \frac{R^{2}}{l}$$ 2 $$\frac{\mu_{0} I l^{2}}{2 R}$$ 3 $$\frac{\mu_{0} l \pi R^{2}}{2 l}$$ 4 $$\frac{\mu_{0} \pi R^{2} I}{l}$$
Subtopic:  Magnetic Flux |
82%
From NCERT
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The net magnetic flux through any closed surface, kept in uniform magnetic field is:

 1 zero 2 $$\dfrac{\mu_{0}}{4 \pi}$$ 3 $$4\pi μ_{0}$$ 4 $$\dfrac{4\mu_{0}}{\pi}$$
Subtopic:  Magnetic Flux |
94%
From NCERT
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The magnetic flux linked with a coil varies with time as $$\phi = 2t^2-6t+5,$$ where $$\phi$$ is in Weber and $$t$$ is in seconds. The induced current is zero at:

 1 $$t=0$$ 2 $$t= 1.5~\text{s}$$ 3 $$t=3~\text{s}$$ 4 $$t=5~\text{s}$$
Subtopic:  Faraday's Law & Lenz Law |
90%
From NCERT
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A short magnet is allowed to fall along the axis of a horizontal metallic ring. Starting from rest, the distance fallen by the magnet in one second may be:

 1 $$4$$ m 2 $$5$$ m 3 $$6$$ m 4 $$7$$ m
Subtopic:  Motional emf |
61%
From NCERT
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Eddy currents are used in:

1. Induction furnace

2. Electromagnetic brakes

3. Speedometers

4. All of these

Subtopic:  Eddy Current |
93%
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The current through a choke coil increases from zero to $$6$$ A in $$0.3$$ seconds and an induced emf of $$30$$ V is produced. The inductance of the coil is:
 1 $$5$$ H 2 $$2.5$$ H 3 $$1.5$$ H 4 $$2$$ H
Subtopic:  Self - Inductance |
88%
From NCERT
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