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Q. No.Given below are two statements:
Assertion (A):
A projectile has only vertical component of velocity at the highest point of its trajectory.
Reason (R):
At the highest point, only one component of velocity is present.
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.
(A) is False but (R) is True.
Subtopic: Projectile Motion |
78%
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Select the correct option based on the statements given below:
| Assertion (A): | Generally, the path of a projectile from the earth is parabolic but it is elliptical for projectiles going to a very large height. |
| Reason (R): | The path of a projectile is independent of the gravitational force of the earth. |
| 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: Projectile Motion |
61%
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Given below are two statements:
| Assertion (A): | A particle is projected at an angle \(\theta\) (<\(90^\circ\)) to horizontal, with a velocity \(u.\) When particle strikes the ground, its speed is again \(u.\) |
| Reason (R): | Velocity along horizontal direction remains the same but velocity along vertical direction is changed. When a particle strikes the ground, the magnitude of final vertical velocity is equal to the magnitude of the initial vertical velocity. |
| 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: Projectile Motion |
81%
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Given below are two statements:
| Assertion (A): | The relative velocity between any two bodies may be equal to the sum of the speeds of the two bodies. |
| Reason (R): | Sometimes, the relative velocity between two bodies may be equal to the difference in the speeds of the two. |
| 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: Relative Motion |
76%
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Given below are two statements:
| Assertion (A): | For a given initial and final position the average velocity is single-valued while the average speed can have many values. |
| Reason (R): | Velocity is a vector quantity and speed is a scalar quantity. |
| 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: Speed & Velocity |
52%
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Given below are two statements:
| Assertion (A): | For angular projection, when angle of projection \(\theta = tan^{-1}(1),\) the horizontal range is four times of the maximum height. |
| Reason (R): | The horizontal range of projectile is directly proportional to the square of velocity and inversely proportional to acceleration due to gravity. |
| 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: Projectile Motion |
77%
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Given below are two statements:
| Assertion (A): | When a particle moves in a circle with a uniform speed, both its velocity and acceleration change. |
| Reason (R): | The centripetal acceleration in circular motion is independent of the angular velocity of the body. |
| 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: Uniformly Accelerated Motion |
61%
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Given below are two statements:
| Assertion (A): | The maximum horizontal range of projectile is proportional to the square of velocity. |
| Reason (R): | The maximum horizontal range of projectile is equal to maximum height attained by projectile. |
| 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: Projectile Motion |
84%
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Given below are two statements:
| Assertion (A): | If in a projectile motion, we take air friction into consideration, then tascent<tdescent . |
| Reason (R): | During ascent, the magnitude of retardation is greater than the magnitude of acceleration during descent. |
| 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: Projectile Motion |
67%
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Given below are two statements:
| Assertion (A): | When a body is projected at an angle of \(45^\circ,\) its range is maximum. |
| Reason (R): | For maximum range, the value of \(\text{sin}2 \theta\) should be equal to one. |
| 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: Projectile Motion |
88%
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