Q. No.
A car is driven by an engine that delivers constant power (except possibly at the initial instant). If it starts from rest, its displacement varies with time \((t)\) as:
1. \(t\)
2. \(\sqrt t \)
3. \(\dfrac{1}{\sqrt t}\)
4. \(t\sqrt t \)
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| 1. | zero | 2. | \(-\dfrac12mu^2\cos^2\theta\) |
| 3. | \(-\dfrac12mu^2\sin^2\theta\) | 4. | \(-\dfrac12mu^2\) |
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1. \(W_1=W_2\)
2. \(W_1\text{cos}30^\circ=W_2\text{cos}60^\circ\)
3. \(W\text{sin}30^\circ=W_2\text{sin}60^\circ\)
4. \(W_1\text{tan}30^\circ=W_2\text{tan}60^\circ\)
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| Assertion (A): | If the velocity of the particle is doubled, its acceleration is halved. |
| Reason (R): | The power delivered by the force equals the force \(\times\) velocity which is a constant, and the acceleration is proportional to the force. |
| 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. \(200~\text J\)
2. \(-200~\text J\)
3. \(1000~\text J\)
4. \(-1000~\text J\)
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| Statement I: | When a person climbs up a staircase, the work done by gravity is negative. |
| Statement II: | When a person climbs up a staircase, the work done by the normal reaction of the floor on the person is positive. |
| 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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| Statement I: | The magnitude of the momentum of a body is directly proportional to its kinetic energy. |
| Statement II: | Kinetic energy increases whenever an external force acts on a moving body. |
| 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. \(80\) W
2. \(40\) W
3. \(20\) W
4. \(0\) W
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| Statement I: | When a ball is thrown vertically upward, it moves with a constant acceleration. |
| Statement II: | When a ball is thrown upward, its kinetic energy decreases linearly with time. |
| 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. | zero | 2. | \(1~\text{m/s}\) to left |
| 3. | \(1~\text{m/s}\) to right | 4. | \(2~\text{m/s}\) to right |
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