Q. No.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. |
| Assertion (A): | Displacement of a body may be zero when distance travelled by it is not zero. |
| Reason (R): | The displacement is the longest distance between initial and final position. |
| 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. |
A car moves with a speed of 60 km/h for 1 hour in the east direction and with the same speed for 30 min in the south direction. The displacement of the car from the initial position is:
| 1. | 60 km | 2. | 30√2 km |
| 3. | 30√5 km | 4. | 60√2 km |
A particle moves along a path ABCD as shown in the figure. The magnitude of the displacement of the particle from A to D is:
1. (5+10√2)m
2. 10 m
3. 15√2 m
4. 15 m
| 1. | distance travelled in last second of downward journey |
| 2. | distance travelled in first second of upward journey |
| 3. | distance travelled in first second of downward journey |
| 4. | both (1) and (2) |
| Assertion (A): | Adding a scalar to a vector of the same dimension is a meaningful algebraic operation. |
| Reason (R): | Displacement can be added to distance. |
| 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. |
A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward, followed again by 5 steps forward and 3 steps backward, and so on. Each step is 1 m long and requires 1 s. There is a pit on the road 13 m away from the starting point. The drunkard will fall into the pit after:
1. 37 s
2. 31 s
3. 29 s
4. 33 s
The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation t=√x+3, where x is in meters and t is in seconds. What is the displacement of the particle from t=0 s to t=6 s?
1. 0
2. 12 m
3. 6 m
4. 18 m
1. 6 m/s
2. 10 m/s
3. 12 m/s
4. 9 m/s
The figure gives the (x-t) plot of a particle in a one-dimensional motion. Three different equal intervals of time are shown. The signs of average velocity for each of the intervals 1, 2 and 3, respectively are:
| 1. | −,−,+ | 2. | +,−,+ |
| 3. | −,+,+ | 4. | +,+,− |
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