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Q. No.A block of mass \(m\) is placed on a flat horizontal surface, and the coefficient of friction between the block and the surface is \(\mu\). A force \(F_A\) is applied to the block from above, and a force \(F_R\) is applied to the right. In all situations being considered below, the block remains at rest. Let \(f\) be the force of friction on the block.
Consider the statements:
(P) \(f\) increases if \(m\) is increased.
(Q) \(f\) increases if \(F_A\) is increased.
(R) \(f\) increases if \(F_R\) is increased.
1. Only P is true.
2. Only Q is true.
3. P, Q are true.
4. Only R is true.
Subtopic: Friction |
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Select the correct option based on statements below:
| Assertion (A): | Newton's law of action and reaction is a consequence of Newton's law of inertia. |
| Reason (R): | Newton's law of inertia implies that any body that is not acted upon by external forces cannot change its state of rest or uniform motion. |
| 1. | (A) is true but (R) is false. |
| 2. | (A) is false but (R) is true. |
| 3. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
| 4. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
Subtopic: Newton's Laws |
61%
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Given below are two statements:
| Assertion (A): | Angle of repose is equal to the angle of limiting friction. |
| Reason (R): | When a body is just at the point of motion, the force of friction at this stage is called limiting friction. |
| 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: Friction |
52%
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Given below are two statements:
| Assertion (A): | For looping a vertical loop of radius \(r,\) the minimum velocity at lowest point should be \(\sqrt {5gr}.\) |
| Reason (R): | In this event (looping a vertical loop of radius \(r\)), the velocity at the highest point will be 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: Non Uniform Vertical Circular Motion |
68%
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Given below are two statements:
| Assertion (A): | A body must be at rest even when it is under the action of any number of external forces. |
| Reason (R): | Vector sum of all external forces 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. | (A) is false but (R) is true. |
Subtopic: Newton's Laws |
51%
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Given below are two statements:
| Assertion (A): | A standing bus suddenly accelerates. If there was no friction between the feet of a passenger and the floor of the bus, the passenger would move back. |
| Reason (R): | In the absence of friction, the floor of the bus would slip forward under the feet of the passenger. |
| 1. | (A) is True but (R) is False. |
| 2. | (A) is False but (R) is True. |
| 3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
Subtopic: Newton's Laws |
62%
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Given below are two statements:
| Assertion (A): | Thrust on a rocket does not depend only on the rate of decrease of mass. |
| Reason (R): | Thrust also depends upon the exhaust speed of the gases. |
| 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: Newton's Laws |
62%
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Given below are two statements:
| Assertion (A): | Centripetal forces and centrifugal forces never cancel out. |
| Reason (R): | They do not act at the same 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. | (A) is False but (R) is True. |
Subtopic: Pseudo Force |
62%
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Given below are two statements:
| Assertion (A): | A safe turn by a cyclist should neither be fast nor sharp. |
| Reason (R): | The bending angle from the vertical would decrease with an increase in 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: Banking of Roads |
56%
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Given below are two statements:
| Assertion (A): | A table cloth can be pulled from a table without dislodging the dishes. |
| Reason (R): | To every action, there is an equal and opposite reaction. |
| 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: Newton's Laws |
64%
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