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Q. No.A rectangular wire loop of sides \(8\) cm and \(3\) cm with a small cut is moving out of a region of uniform magnetic field of magnitude \(0.3\) T directed normal to the plane of the loop. The emf developed across the cut, if the velocity of the loop is \(2\) cm-s-1, in a direction normal to the shorter side of the loop, will be:
1. \(1.8\times 10^{-4}\) volts
2. \(1.2\times 10^{-4}\) volts
3. \(1.3\times 10^{-4}\) volts
4. \(4.8\times 10^{-4}\) volts
1. \(1.8\times 10^{-4}\) volts
2. \(1.2\times 10^{-4}\) volts
3. \(1.3\times 10^{-4}\) volts
4. \(4.8\times 10^{-4}\) volts
Subtopic: Â Motional emf |
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Level 3: 35%-60%
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Consider a long solenoid of length \(l\) and radius \(r.\) If \(n\) is the number of turns per unit length and \( \mu_0 \) is the permeability of free space, the inductance of the solenoid is:
1. \(2\mu_0 \pi n^2 r^2 l\)
2. \(\mu_0 \pi n^2 r^2 l\)
3. \(\mu_0 n^2 r^2 l\)
4. \((\mu_0/2 \pi)n^2r^2l\)
1. \(2\mu_0 \pi n^2 r^2 l\)
2. \(\mu_0 \pi n^2 r^2 l\)
3. \(\mu_0 n^2 r^2 l\)
4. \((\mu_0/2 \pi)n^2r^2l\)
Subtopic: Â Self - Inductance |
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Level 2: 60%+
NEET - 2026
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Two identical inductors are connected in two different configurations, \(P\) and \(Q,\) where a time-varying current \(I(t)\) is flowing, as shown in the figure. The induced EMF between points \(a\) and \(b\) for configuration \(P\) is \(E_P\) and that for configuration \(Q\) is \(E_Q.\) The ratio \(E_P/E_Q\) is:
(Neglect the effect of mutual inductance.)
(Neglect the effect of mutual inductance.)
| 1. | \(2\) | 2. | \(1/4\) |
| 3. | \(1/2\) | 4. | \(1\) |
Subtopic: Â Self - Inductance |
Level 3: 35%-60%
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A conducting loop of finite resistance lies on the \(xy \text{-}\)plane. There is a constant magnetic field in the \(z\) direction. The area of the loop varies with time \(t,\) as \(A=A_0(1+\mathrm{sin}~t)\) in appropriate units. The figure that correctly indicates the qualitative behaviour of the power \(P\) dissipated in the loop as a function of time is:
| 1 |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Â Faraday's Law & Lenz Law |
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\(AB\) is a part of an electrical circuit (see figure). The potential difference \(''V_{A}-V_{B}'',\) at the instant when current \(i=2~\text A\) and is increasing at a rate of \(1~\text{amp/second}\) is:
1. \(9~ \text{volts}\)
2. \(10~ \text{volts}\)
3. \(5~ \text{volts}\)
4. \(6~ \text{volts}\)
1. \(9~ \text{volts}\)
2. \(10~ \text{volts}\)
3. \(5~ \text{volts}\)
4. \(6~ \text{volts}\)
Subtopic: Â LR circuit |
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NEET - 2025
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In the above diagram, a strong bar magnet is moving towards solenoid-\(2\) from solenoid-\(1\). The direction of induced current in solenoid-\(1\) and that in solenoid-\(2\), respectively, are through the directions:
1. \(BA\) and \(CD\)
2. \(AB\) and \(CD\)
3. \(BA\) and \(DC\)
4. \(AB\) and \(DC\)
1. \(BA\) and \(CD\)
2. \(AB\) and \(CD\)
3. \(BA\) and \(DC\)
4. \(AB\) and \(DC\)
Subtopic: Â Faraday's Law & Lenz Law |
Level 3: 35%-60%
NEET - 2024
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An ideal inductor-resistor-battery circuit is switched on at \(t=0~\text{s}\). At time \(t\), the current is \(i=i_0\left(1-e^{\left(-\frac{t}{\tau}\right)}\right)\text{A}\), where \(i_0\) is the steady-state value. The time at which the current becomes \(0.5i_0\) is: [Given \(\text{ln}(2)= 0.693\)]
1. \(6.93 \times 10^3 ~\text{s}\)
2. \(6.93~\text{ms}\)
3. \(69.3~\text{s}\)
4. \(6.93~\text{s}\)
Subtopic: Â LR circuit |
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A conducting circular loop of face area \(2.5 \times 10^{-3}~\text{m}^2\) is placed perpendicular to a magnetic field which varies as \(B=0.5~\text{sin}(100 \pi t)~\text{T}\). The magnitude of induced EMF at time \(t= 0~\text{s}\) is:
| 1. | \(0.125 \pi~ \text{mV}\) | 2. | \(125 \pi ~\text{mV}\) |
| 3. | \(125 \pi~\text{V}\) | 4. | \(12.5 \pi~\text{mV}\) |
Subtopic: Â Faraday's Law & Lenz Law |
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A rod of length \(L\) rotates with a small uniform angular velocity \(\omega\) about its perpendicular bisector. A uniform magnetic field \(B\) exists parallel to the axis of rotation. The potential difference between the centre of the rod and an end is:
| 1. | \(\Large\frac{B\omega L^2}{8}\) | 2. | \(\Large\frac{B\omega L^2}{2}\) |
| 3. | \(\Large\frac{B\omega L^2}{4}\) | 4. | zero |
Subtopic: Â Motional emf |
Level 3: 35%-60%
NEET - 2024
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Let us consider two solenoids \(A\) and \(B,\) made from the same magnetic material of relative permeability \(\mu_{r}\) and of equal area of cross-section. Length of \(A\) is twice that of \(B\) and the number of turns per unit length in \(A\) is half that of \(B.\) The ratio of self-inductances of the two solenoids, \(L_A:L_B\) is:
| 1. | \(1:2\) | 2. | \(2:1\) |
| 3. | \(8:1\) | 4. | \(1:8\) |
Subtopic: Â Self - Inductance |
 64%
Level 2: 60%+
NEET - 2024
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