Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
**Assertion (A):** The time period of a simple pendulum is longer at the top of a mountain than at the base of the mountain.
**Reason (R):** The time period of a simple pendulum decreases with increasing value of acceleration due to gravity and vice-versa.
In the light of the above statements, choose the most appropriate answer from the options given below:
Answer: (A) Both (A) and (R) are true and (R) is the correct explanation of (A)
$T = 2\pi\sqrt{l/g}$, so $T$ decreases as $g$ increases: (R) is true.
$g$ is smaller at height, so at the top of a mountain $T$ is longer: (A) is true, and it follows directly from (R).
Solution by Sreeraj P, M.Sc Physics