- 1(current)
Q. No.
| 1. | \({\Large\frac{1}{2}}kA^2\) | 2. | \(kA^2\) |
| 3. | \(2kA^2\) | 4. | \(4kA^2\) |
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| Statement I: | If the acceleration of a particle is directed towards a fixed point, and proportional to the distance from that point – the motion is SHM. |
| Statement II: | During SHM, the kinetic energy of the particle oscillates at twice the frequency of the SHM. |
| 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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(\(K_0,K_1\) are positive constants)
1. \(K_0+K_1\cos2\omega t\)
2. \(K_0-K_1\cos2\omega t\)
3. \(K_0+K_1\sin2\omega t\)
4. \(K_0-K_1\sin2\omega t\)
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A particle of mass \(m\) executes SHM along a straight line with an amplitude \(A\) and frequency \(f.\)
| Assertion (A): | The kinetic energy of the particle undergoes oscillation with a frequency \(2f.\) |
| Reason (R): | Velocity of the particle, \(v = {\dfrac{dx}{dt}}\), its kinetic energy equals \({\dfrac 12}mv^2\) and the particle oscillates sinusoidally with a frequency \(f\). |
| 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. | (A) is False but (R) is True. |
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| 1. | one of the extreme positions |
| 2. | the mean position |
| 3. | a point midway between the mean and an extreme position |
| 4. | any of the extreme positions |
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(neglect all dissipative forces)
| 1. | Kinetic energy is conserved |
| 2. | Momentum is conserved |
| 3. | Potential energy is conserved |
| 4. | Total energy is conserved |
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- 1(current)
Q. No.
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