Q. No.A particle moves along a straight line such that its velocity is proportional to the square root of its displacement. Its acceleration is:
1.
zero
2.
constant
3.
proportional to time
4.
proportional to displacement
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| 1. | \(\sqrt{\dfrac{2h}{g}}(\sin\theta+\cos\theta) \) |
| 2. | \(\sqrt{\dfrac{2h}{g}}(\sin^2\theta+\cos^2\theta) \) |
| 3. | \(\sqrt{\dfrac{2h}{g}}\left(\dfrac1{\sin\theta}+\dfrac1{\cos\theta}\right) \) |
| 4. | \(\sqrt{\dfrac{2h}{g}}\left(\dfrac1{\sin^2\theta\cdot \cos^2\theta}\right) \) |
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| 1. | is less than \(H\) |
| 2. | is greater than \(H\) |
| 3. | is equal to \(H\) |
| 4. | cannot be related with \(H\) |
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where the units are in SI. The acceleration of the balloon is:
1. zero
2. \(10\) m/s2 to right
3. \(5\) m/s2 to right
4. \(10\) m/s2 upward
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| 1. | \(10~\text{m}\) | 2. | \(15~\text{m}\) |
| 3. | \(20~\text{m}\) | 4. | \(25~\text{m}\) |
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| 1. | \(1\) m/s |
| 2. | \(2\) m/s |
| 3. | less than \(1\) m/s |
| 4. | greater than \(2\) m/s |
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| 1. | is constant in magnitude only. |
| 2. | is constant in direction. |
| 3. | is constant in magnitude and direction. |
| 4. | varies, both, in magnitude and direction. |
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| (A) | distance travelled by \(A\) = distance travelled by \(B\) |
| (B) | acceleration time of \(A\) = \(\dfrac12\) acceleration time of \(B\) |
| (C) | relative velocity of \(A\) with respect to \(B\) is always positive |
| (D) | deceleration time of \(A\) = \(2×\) deceleration time of \(B\) |
Choose the correct option from the given ones:
| 1. | (A) is True. |
| 2. | (A), (B) are True. |
| 3. | (A), (B), (C) are True. |
| 4. | (B), (C), (D) are True. |
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| 1. | \(1\) m/s2 |
| 2. | \(2\) m/s2 |
| 3. | less than \(1\) m/s2 |
| 4. | greater than \(2\) m/s2 |
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1. \(d_2 = d_1\)
2. \(d_2 = 2d_1\)
3. \(d_2 = 3d_1\)
4. \(d_2 = 4 d_1\)
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