Question

Assertion (A): The free vibrations are simple harmonic vibrations under a restoring force in which amplitude and frequency are constant.

Reason (R): The vibrations of constant amplitude and frequency can occur only in vacuum.

Options

• Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion.

• Both Assertion (A) and Reason (R) are true but Reason (R) is not the correction explanation of Assertion.

• Assertion (A) is false, but Reason (R) is true.

• Assertion (A) is true, but Reason (R) is false.

Answer 1

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion.

Explanation:

Both statements are true for ideal free vibrations. In vacuum, there is no resistance to remove energy from the vibrating body, so its amplitude and frequency remain constant. Thus, the Reason explains the constant amplitude and frequency in the Assertion.