Q. No.Match the quantities in List-I with their appropriate units in List-II.
List-I
List-II
\((\mathrm{A})\)
inductance \(\times\) current
\((\mathrm{I})\)
V
\((\mathrm{B})\)
frequency \(\times\) capacitance
\((\mathrm{II})\)
Wb
\((\mathrm{C})\)
frequency \(\times\) magnetic flux
\((\mathrm{III})\)
\(\Omega^{-1}\)
\((\mathrm{D})\)
electric flux
\(\mathrm{IV}\)
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.
\(\mathrm{A\text-III, B\text{-}IV, C\text-II, D\text- I}\)
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| Statement I: | A steady magnetic field can be produced by a steady current. |
| Statement II: | A steady current can be produced in a circuit by a changing magnetic field. |
| 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. |
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| 1. | \(B\) | 2. | \(l\) |
| 3. | time, \(t\) | 4. | all of the above |
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| Assertion (A): | If a permanent magnet, be oriented and moved along the axis of a conducting solenoid, an emf will be induced across the solenoid. |
| Reason (R): | As the permanent magnet is moved along the axis of the solenoid, oriented as mentioned, the magnetic field and thereby, the flux due to this field through the solenoid changes. This induces an emf, by Faraday's law. |
| 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). |
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| Assertion (A): | The average induced electric field within the wire has a magnitude of \(\dfrac12B\omega L.\) |
| Reason (R): | The induced electric field is the motional EMF per unit length, and the motional EMF is \(\dfrac12B\omega L^2.\) |
| 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). |
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| 1. | \(A_1:A_2\) | 2. | \(A^2_1:A_2^2\) |
| 3. | \(A_2:A_1\) | 4. | \(A^2_2:A_1^2\) |
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| 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. |
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| 1. | \(5\) V | 2. | \(0.5\) V |
| 3. | \(0.05\) V | 4. | \(5\times10^{-4}\) V |
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| 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). |
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1. \(Bav\)
2. \(\sqrt2Bav\)
3. \(\dfrac{Bav}{2}\)
4. zero
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