Q. No.
A stone dropped from a building of height \(h\) and reaches the earth after \(t\) seconds. From the same building, if two stones are thrown (one upwards and other downwards) with the same velocity \(u\) and they reach the earth surface after \(t_1\) and \(t_2\) seconds respectively, then:
1.
2.
3.
4.
A particle is dropped vertically from rest from a height. The time taken by it to fall through successive distances of \(1~\text{m}\) each will then be:
| 1. | All equal, being equal to \(\sqrt{2 / g} \) s. |
| 2. | In the ratio of the square roots of the integers \(1,2,3....\) |
| 3. | In the ratio of the difference in the square roots of the integers \(\sqrt{1}\), \((\sqrt{2}-\sqrt{1})\),\((\sqrt{3}-\sqrt{2})\),\((\sqrt{4}-\sqrt{3})\) \( \ldots\) |
| 4. | In the ratio of the reciprocal of the square roots of the integers i.e,... \(\frac{1}{\sqrt{1}}\), \(\frac{1}{\sqrt{2}}\), \(\frac{1}{\sqrt{3}}\),\(\frac{1}{\sqrt{4}} \) |
The graph between the displacement \(x\) and time \(t\) for a particle moving in a straight line is shown in the figure.
During the interval OA, AB, BC and CD the acceleration of the particle is:
| OA | AB | BC | CD | |
| 1. | + | 0 | + | + |
| 2. | – | 0 | + | 0 |
| 3. | + | 0 | – | + |
| 4. | – | 0 | – | 0 |
A lift is going up. The variation in the speed of the lift is as given in the graph. What is the height to which the lift takes the passengers?
| 1. | \(3.6~\text{m}\) |
| 2. | \(28.8~\text{m}\) |
| 3. | \(36.0~\text{m}\) |
| 4. | It cannot be calculated from the above graph. |
The velocity-time \((v\text-t)\) graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in \(6\) s are, respectively:
1. \(8\) m, \(16\) m
2. \(16\) m, \(8\) m
3. \(16\) m, \(16\) m
4. \(8\) m, \(8\) m
In the following graph, the distance travelled by the body in metres is:
| 1. | \(200\) | 2. | \(250\) |
| 3. | \(300\) | 4. | \(400\) |
Which of the following velocity-time graphs shows a realistic situation for a body in motion?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Acceleration-time graph of a body is shown.
The corresponding velocity-time graph of the same body is:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Given below are two statements:
| Assertion (A): | Position-time graph of a stationary object is a straight line parallel to the time axis. |
| Reason (R): | For a stationary object, the position does not change with time. |
| 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. | Both (A) and (R) are False. |
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