# 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 |
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Assertion: Angle of repose is equal to the angle of limiting friction.
Reason: When a body is just at the point of motion, the force of friction at this stage is called limiting friction.
1. Both assertion and reason are correct and the reason is the correct explanation of Assertion.
2. Both assertion and reason are correct but the reason is not the correct explanation of assertion.
3. Assertion is correct and the reason is incorrect.
4. Assertion is incorrect and the reason is correct.
Subtopic:  Friction |
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Assertion: For looping a vertical loop of radius r, the minimum velocity at lowest point should be $$\sqrt {5gr}.$$
Reason: In this event (looping a vertical loop of radius r), the velocity at the highest point will be zero.
1. Both assertion and reason are true and the reason is the correct explanation of assertion.
2. Both assertion and reason are true but reason is not the correct explanation of assertion.
3. Assertion is true but reason is false.
4. Both assertion and reason are false.
Subtopic:  Non Uniform Vertical Circular Motion |
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Assertion: A body must be at rest even when it is under the action of any number of external forces.
Reason: Vector sum of all external forces is zero.
1. Both the assertion and reason are true and reason explains the assertion.
2. Both the assertion and reason are true but reason does not explain the assertion.
3. Assertion is true but reason is false.
4. Assertion is false but reason is true.

Subtopic:  Newton's Laws |
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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 |
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Assertion: Thrust on a  rocket does not depend only on the rate of decrease of mass.
Reason: Thrust also depends upon the exhaust speed of the gases.
1. Both the assertion and reason are true and reason explains the assertion.
2. Both the assertion and reason are true but reason does not explain the assertion.
3. Assertion is true but reason is false.
4. Assertion is false but reason is true.

Subtopic:  Newton's Laws |
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Assertion: Centripetal forces and centrifugal forces never cancel out.
Reason: They do not act at the same time.
1. Both assertion and reason are true and the reason is the correct explanation of the assertion.
2. Both assertion and reason are true but the reason is not the correct explanation of the assertion.
3. Assertion is true but reason is false.
4. Assertion is false but reason is true.

Subtopic:  Pseudo Force |
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Assertion: A safe turn by a cyclist should neither be fast nor sharp.
Reason: The bending angle from the vertical would decrease with an increase in velocity.
1. Both assertion and reason are true and the reason is the correct explanation of the assertion.
2. Both assertion and reason are true but the reason is not the correct explanation of the assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

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Assertion: A table cloth can be pulled from a table without dislodging the dishes.
Reason: To every action, there is an equal and opposite reaction.
1. Both assertion and reason are true and the reason is the correct explanation of the assertion.
2. Both assertion and reason are true but the reason is not the correct explanation of the assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Subtopic:  Newton's Laws |
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