- 1(current)
Q. No.Given below are two statements:
| Assertion (A): | If the average velocity of a particle over a certain time interval is zero, it is possible that the instantaneous velocity of the particle is never zero during that interval. |
| Reason (R): | For a particle moving along a straight line, if its average velocity over a time interval is zero, then there must be at least one instant within that interval when the instantaneous velocity is zero. |
| 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. |
Subtopic: Â Average Speed & Average Velocity |
Level 3: 35%-60%
Hints
Given below are two statements:
| Assertion (A): | The average velocity of the object over an interval of time is either smaller than or equal to the average speed of the object over the same interval. |
| Reason (R): | Displacement is the shortest distance between two points. |
| 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. |
Subtopic: Â Average Speed & Average Velocity |
 60%
Level 2: 60%+
Hints
Pick the correct statements:
| a. | Average speed of a particle in a given time is never less than the magnitude of the average velocity. |
| b. | It is possible to have a situation in which \(|\frac{d \vec{v}}{d t}| \neq 0\) but \(\frac{d}{d t}|\vec{v}|=0.\) |
| c. | The average velocity of a particle is zero in a time interval. It is possible that the instantaneous velocity is never zero in the interval. |
| d. | The average velocity of a particle moving in a straight line is zero in a time interval. It is possible that the instantaneous velocity is never zero in the interval. (Infinite accelerations are not allowed) |
Choose the correct option:
| 1. | (a), (b) and (c) |
| 2. | (b), (c) and (d) |
| 3. | (a) and (b) |
| 4. | (b) and (c) |
Subtopic: Â Average Speed & Average Velocity |
 64%
Level 2: 60%+
Hints
- 1(current)
Q. No.
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