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. | \(\sqrt{2 / g} \) second. | All equal, being equal to
2. | In the ratio of the square roots of the integers 1, 2, 3..... |
3. | \(\sqrt{1}\), \((\sqrt{2}-\sqrt{1})\),\((\sqrt{3}-\sqrt{2})\),\((\sqrt{4}-\sqrt{3})\) \( \ldots\) | In the ratio of the difference in the square roots of the integers
4. | \(\frac{1}{\sqrt{1}}\), \(\frac{1}{\sqrt{2}}\), \(\frac{1}{\sqrt{3}}\),\(\frac{1}{\sqrt{4}} \) | In the ratio of the reciprocal of the square roots of the integers i.e...
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 m |
2. | 28.8 m |
3. | 36.0 m |
4. | Cannot be calculated from the above graph |
The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in 6 seconds 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 graph represents a uniformly accelerated motion?
1. | 2. | ||
3. | 4. |
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. |
The acceleration of a particle starting from rest varies with time according to the relation A = – aω2sinωt. The displacement of this particle at a time t will be:
1.
2.
3.
4.