1. | velocity of B is more than the velocity of A. |
2. | velocity of A is more than the velocity of B. |
3. | magnitude of \(v_{AB}\) will be lower than the magnitude of \(v_{A}.\) |
4. | magnitude of \(v_{BA}\) will be lower than the magnitude of \(v_{A}.\) |
1. | The acceleration is constant and non-zero. |
2. | The velocity changes suddenly during the motion. |
3. | The velocity is positive throughout. |
4. | All of the above are true. |
The figure given below shows the displacement and time, \((x\text -t)\) graph of a particle moving along a straight line:
The correct statement, about the motion of the particle, is:
1. | the particle moves at a constant velocity up to a time \(t_0\) and then stops. |
2. | the particle is accelerated throughout its motion. |
3. | the particle is accelerated continuously for time \(t_0\) then moves with constant velocity. |
4. | the particle is at rest. |
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. |
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): | 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. |
Assertion (A): | Two balls of different masses are thrown vertically upward with the same speed. They will pass through their point of projection in the downward direction with the same speed. |
Reason (R): | The maximum height and downward velocity attained at the point of projection are independent of the mass of the ball. |
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): | A particle having zero acceleration must have a constant speed. |
Reason (R): | A particle having constant speed must have zero acceleration. |
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. |
Assertion (A): | A body can have acceleration even if its velocity is zero at a given instant of time. |
Reason (R): | A body is momentarily at rest when it reverses its direction of motion. |
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): | A body can have a velocity varying in both magnitude and direction but still have constant acceleration. |
Reason (R): | Acceleration is defined as the rate of change of speed with respect to time. |
1. | Both assertion & reason are true and the reason is the correct explanation of the assertion |
2. | Both assertion & reason are true but the reason is not the correct explanation of the assertion |
3. | Assertion is true but reason is false. |
4. | Both assertion and reason are false statements. |