Q. No.A charged particle (charge: \(q\)) moves in a circular orbit in a uniform magnetic field, its orbit enclosing a magnetic flux \(\Phi.\) The angular momentum of the particle is:
1.
\(q\Phi\)
2.
\(\dfrac{q\Phi}{2\pi}\)
3.
\(\pi q\Phi\)
4.
\(\dfrac{q\Phi}{\pi}\)
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1. \(0.1\) mA
2. \(0.2\) mA
3. \(1\) mA
4. \(2\) mA
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| (I) | at two adjacent vertices \(A,B\) |
| (II) | at two points \(A,C\) at the ends of a diagonal. |
| 1. | \(2\) | 2. | \(\dfrac12\) |
| 3. | \(\dfrac{1}{\sqrt2}\) | 4. | \(1\) |
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| 1. | \(\dfrac{q^2B}{2\pi m}\) | 2. | \(\dfrac{qB^2}{m}\) |
| 3. | \(\dfrac{2\pi m}{q^2B}\) | 4. | \(\dfrac{qB}{m^2}\) |
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| 1. | \(2\) | 2. | \(\dfrac43\) |
| 3. | \(\dfrac32\) | 4. | \(4\) |
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| Statement I: | A charged particle moving in a magnetic field experiences a force which is zero only when it moves in the direction of the field or against it. |
| Statement II: | Whenever a charged particle moves in a uniform magnetic field, its trajectory may be a circle, a straight line or a helix. |
| 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. | \(4\pi\times10^{-3}\) T |
| 2. | \(\dfrac4\pi\times10^{-3}\) T |
| 3. | \(4\times10^{-3} \) T |
| 4. | \(2\times10^{-3}\) T |
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| Statement I: | If a galvanometer is connected with a high resistance in series with it, it can be used as an ammeter. |
| Statement II: | If a galvanometer is connected with a low resistance in parallel with it, it can be used as a voltmeter. |
| 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. | a resistance of \(25~\Omega\) in series |
| 2. | a resistance of \(\dfrac1{25}~\Omega\) in series |
| 3. | a resistance of \(25~\Omega\) in parallel |
| 4. | a resistance of \(\dfrac1{25}~\Omega\) in parallel |
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| 1. | \(\dfrac{5}{\sqrt3r}\) | 2. | \(\dfrac{5}{\sqrt3\pi r}\) |
| 3. | \(\dfrac{5}{r}\) | 4. | \(\dfrac{5}{\pi r}\) |
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