Q. No.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%
From NCERT
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Given below are two statements:
| Assertion (A): | The maximum height of a projectile is always \(25\)% of the maximum range. |
| Reason (R): | For maximum height, the projectile should be projected at \(90^\circ.\) |
| 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 and (R) is False. |
| 4. | (A) is False and (R) is True. |
Subtopic: Projectile Motion |
From NCERT
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Given below are two statements:
| Assertion (A): | When \(\theta=45\)° or \(135^\circ,\) the value of range, \(R\) remains the same, only the sign changes. |
| Reason (R): | \(R={u^2 sin \theta \over g}.\) |
| 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 |
62%
From NCERT
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Given below are two statements:
| Assertion (A): | When a body is dropped or thrown horizontally from the same height, it would reach the ground at the same time. |
| Reason (R): | Horizontal velocity has no effect on the vertical direction. |
| 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%
From NCERT
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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%
From NCERT
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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%
From NCERT
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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%
From NCERT
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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%
From NCERT
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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%
From NCERT
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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%
From NCERT
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