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Q. No.Match the quantities in List-I with their appropriate units in List-II.
List-I
List-II
(A)
inductance \(\times\) current
(I)
V
(B)
frequency \(\times\) capacitance
(II)
Wb
(C)
frequency \(\times\) magnetic flux
(III)
\(\Omega^{-1}\)
(D)
electric flux
(IV)
V-m
1.
\(\mathrm{A\text-I, B\text{-}IV, C\text-II, D\text- III}\)
2.
\(\mathrm{A\text-II, B\text{-}III, C\text-I, D\text- IV}\)
3.
\(\mathrm{A\text-III, B\text{-}I, C\text-II, D\text- IV}\)
4.
\(\mathrm{A\text-III, B\text{-}IV, C\text-II, D\text- I}\)
Subtopic: Â Self - Inductance |
 70%
Level 2: 60%+
Hints
Given below are two statements:
| Statement I: | The magnetic field due to a very long current-carrying solenoid, at its centre, is inversely proportional to the radius of the solenoid, other things remaining constant. |
| Statement II: | The magnetic energy stored in a solenoid carrying a current \(I\) is directly proportional to \(I^2.\) |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
Subtopic: Â Self - Inductance |
 59%
Level 3: 35%-60%
Hints
Given below are two statements:
| Assertion (A): | Faraday's law of electromagnetic induction is not consistent with the law of conservation of energy. |
| Reason (R): | Lenz's law is consistent with energy conservation. |
| 1. | (A) is True but (R) is False. |
| 2. | (A) is False but (R) is True. |
| 3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
Subtopic: Â Faraday's Law & Lenz Law |
 67%
Level 2: 60%+
Hints
Given below are two statements:
| Assertion (A): | Faraday's law of electromagnetic induction is a consequence of Biot-Savart's law. |
| Reason (R): | Currents cause magnetic fields and interact with magnetic flux. |
| 1. | (A) is True but (R) is False. |
| 2. | (A) is False but (R) is True. |
| 3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
Subtopic: Â Faraday's Law & Lenz Law |
Level 3: 35%-60%
Hints
Given below are two statements:
| Assertion (A): | A bar magnet is dropped into a long vertical copper tube. Even if air resistance is negligible, the magnet attains a constant terminal velocity. If the tube is heated, the terminal velocity increases. |
| Reason (R): | The terminal velocity is independent of the eddy currents produced in the copper tube. |
| 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: Â Eddy Current |
 52%
Level 3: 35%-60%
Hints
Eddy currents can be minimised by:
| 1. | reducing relative motion between the core and magnet in an electric motor |
| 2. | by making the core of thin laminations |
| 3. | by increasing the conductor cross-sectional area |
| 4. | both (1) and (2) are correct |
Subtopic: Â Eddy Current |
 80%
Level 1: 80%+
Hints
Given below are two statements:
A rectangular loop of resistance \(R\) is placed in a region where there is a magnetic field \(B\), passing perpendicularly through the plane of the loop, as shown in the figure. The loop is pulled with a constant velocity \(v\) so that it is partially within the field.
A rectangular loop of resistance \(R\) is placed in a region where there is a magnetic field \(B\), passing perpendicularly through the plane of the loop, as shown in the figure. The loop is pulled with a constant velocity \(v\) so that it is partially within the field.
| Assertion (A): | An external force \(F\) is needed to be applied in the direction of the velocity \(v\) so that the loop can move with constant velocity \(v\). |
| Reason (R): | As the loop moves towards the right, the magnetic flux decreases inducing an emf and a corresponding current. This current causes a retarding force to be exerted on the wire. |
| 1. | (A) is True but (R) is False. |
| 2. | (A) is False but (R) is True. |
| 3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
Subtopic: Â Motional emf |
 65%
Level 2: 60%+
Hints
A rectangular loop and a circular loop are moving out of a uniform magnetic field region (as shown in the figure) to a field-free region with a constant velocity \(v.\) In which loop do you expect the induced emf to be constant during the passage out of the field region? The field is normal to the loops:
1. only in the case of the rectangular loop
2. only in the case of the circular loop
3. in both cases
4. none of these
Subtopic: Â Faraday's Law & Lenz Law |
 65%
Level 2: 60%+
Hints
Links
In a coil of resistance \(10\) \(\Omega\), the induced current developed by changing magnetic flux through it is shown in the figure as a function of time. The magnitude of change in flux through the coil in Weber is:
1. \(2\)
2. \(6\)
3. \(4\)
4. \(8\)
Subtopic: Â Magnetic Flux |
 69%
Level 2: 60%+
AIPMT - 2012
Hints
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
| Assertion (A): | Lenz's law is in accordance with the conservation of energy. |
| Reason (R): | The amount of mechanical energy lost against the induced emf or current is equal to the electrical energy reappearing in the circuit. |
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: Â Faraday's Law & Lenz Law |
 89%
Level 1: 80%+
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