Physics
Assertion (A) : A cricket ball acquires much smaller velocity than a tennis ball when the two balls are pushed with equal force for the same duration.
Reason (R) : Mass is a measure of inertia.
- both A and R are true and R is the correct explanation of A
- both A and R are true and R is not the correct explanation of A
- assertion is false but reason is true
- assertion is true but reason is false
Answer
both A and R are true and R is the correct explanation of A
Explanation
Assertion (A) is true because when equal force is applied for the same duration, the lighter object (tennis ball) gains more velocity than the heavier object (cricket ball). This is because the cricket ball has more mass, so it accelerates less.
Reason (R) is true because inertia is the resistance to change in motion, and mass quantifies this resistance. A body with more mass (like a cricket ball) resists acceleration more than a lighter one (tennis ball). Since the Reason (R) correctly explains Assertion (A) (i.e., the cricket ball's greater mass/inertia is the reason it acquires less velocity), the statement is fully correct.
Related Questions
Assertion (A) : The magnitude of non-contact force between two bodies decreases with the increase in distance of separation between them.
Reason (R) : The magnitude of non-contact force between two bodies varies inversely as the square of distance of separation between them.
- both A and R are true and R is the correct explanation of A
- both A and R are true and R is not the correct explanation of A
- assertion is false but reason is true
- assertion is true but reason is false
Assertion (A) : Inertia is an inherent property of each body by virtue of which it has a tendency to resist the change in its state of rest only.
Reason (R) : Force is that external cause which tends to change the state of rest or the state of motion of an object.
- both A and R are true and R is the correct explanation of A
- both A and R are true and R is not the correct explanation of A
- assertion is false but reason is true
- assertion is true but reason is false
Assertion (A) : While catching a ball, a cricketer withdraws his hands along with the ball.
Reason (R) : To every action, there is an equal and opposite reaction.
- both A and R are true and R is the correct explanation of A
- both A and R are true and R is not the correct explanation of A
- assertion is false but reason is true
- assertion is true but reason is false
Assertion (A) : Momentum of a body is the product of mass and acceleration.
Reason (R) : The rate of change of momentum of a body is equal to the product of mass and acceleration.
- both A and R are true and R is the correct explanation of A
- both A and R are true and R is not the correct explanation of A
- assertion is false but reason is true
- assertion is true but reason is false