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Q. No.The \(\text{DC}\) time constant of an \(L\)-\(R\) circuit is the same as that of an \(R\)-\(C\) circuit where the inductor in the first circuit was replaced by a capacitor. The value of the resistance \(R\) equals:
1.
\(\dfrac{1}{2\pi}\sqrt{\dfrac{L}{C}}\)
2.
\(\sqrt{\dfrac{L}{C}}\)
3.
\(2\pi\sqrt{\dfrac{L}{C}}\)
4.
\(2\sqrt{\dfrac{L}{C}}\)
Subtopic: LR circuit |
58%
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A \(3~\mu\text{F}\) capacitor is charged with \(6~\mu \text{C}\) and connected across a \(1~\text{mH}\) inductance. The rate of change of current is:
1. \(2\) A/s
2. \(2\times10^{-3}\) A/s
3. \(2\times10^{3}\) A/s
4. \(2\times10^{-6}\) A/s
1. \(2\) A/s
2. \(2\times10^{-3}\) A/s
3. \(2\times10^{3}\) A/s
4. \(2\times10^{-6}\) A/s
Subtopic: Self - Inductance |
72%
From NCERT
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A conducting circular wire of radius \(r\) is moving with constant velocity \(v\) towards the right in a uniform magnetic field \(B.\) We consider two points \(X,Y\) such that chord \(XY\) is perpendicular to the velocity \(v\) and is at a distance \(x\) from the centre \((O)\) of the circle. The EMF induced between \(X,Y\) is \(\varepsilon.\) Then, \(\varepsilon\) is proportional to:
1. \(x\)
2. \(\sqrt{r^2-x^2}\)
3. \(r\)
4. \(x\sqrt{r^2-x^2}\)
1. \(x\)
2. \(\sqrt{r^2-x^2}\)
3. \(r\)
4. \(x\sqrt{r^2-x^2}\)
Subtopic: Motional emf |
73%
From NCERT
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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: Faraday's Law & Lenz Law |
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An \(L\)-shaped rod \((ABC;AB=BC=a)\) moves in its own plane with a velocity \(v\) parallel to \(AB.\) There is a uniform magnetic field \(B\) acting into the plane as shown. The emf developed between \(A,C\) is:
1. \(Bav\)
2. \(\sqrt2Bav\)
3. \(\dfrac{Bav}{2}\)
4. zero
1. \(Bav\)
2. \(\sqrt2Bav\)
3. \(\dfrac{Bav}{2}\)
4. zero
Subtopic: Motional emf |
57%
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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: Faraday's Law & Lenz Law |
67%
From NCERT
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The magnetic field, through a closed loop of conducting wire covering an area of \(100\) cm2, is \(5\times10^{-2}\) T and it is uniform and normal to the area. If the field is switched off in a time of \(10\) ms, the average EMF induced is:
| 1. | \(5\) V | 2. | \(0.5\) V |
| 3. | \(0.05\) V | 4. | \(5\times10^{-4}\) V |
Subtopic: Faraday's Law & Lenz Law |
78%
From NCERT
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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: Self - Inductance |
58%
From NCERT
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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. | \(\mathrm{A\text-III, B\text{-}IV, C\text-II, D\text- I}\) |
Subtopic: Self - Inductance |
69%
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Given below are two statements:
| 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. |
Subtopic: Faraday's Law & Lenz Law |
55%
From NCERT
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