Question

Assertion: The slope of momentum versus the time curve gives us the acceleration.

Reason: Acceleration is given by the rate of change of momentum.

• A. If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
• B. If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
• C. If Assertion is true but Reason is false.
• D. If the Assertion and Reason both are false.
• E. If Assertion is false but Reason is true.

Answer 1

The correct option is D

If the Assertion and Reason both are false.

Explanation for the Assertion statement:

1. As we know from Newton's second law of motion, Force, $F=\frac{dp}{dt}$ means the slope of momentum versus the time curve gives us force.
2. But in the given assertion, the slope of momentum versus the time curve gives us the acceleration. Therefore, we can say the given assertion is wrong.

Explanation for the Reason statement:

1. Also we know that acceleration is the rate of change of velocity. Therefore, we can say the given reason is also wrong.

Hence, both Assertion and Reason are false.

Hence, option (D) is correct.