Given below are two statements: one is labelled as Assertion (A) and… | JEE Main 2025 (29 Jan, Shift 1)

Q22JEE Main 2025 · 29 JAN · SHIFT 1Easy

Simple Pendulum

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A): Time period of a simple pendulum is longer at the top of a mountain than that at the base of the mountain.

Reason (R): 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:

Show answer and solution

Answer: (c)

$g$ is smaller at the top of a mountain, and $T = 2\pi\sqrt{\frac{l}{g}}$ , so $T$ is longer there: (A) true.
$T \propto \frac{1}{\sqrt{g}}$ , so $T$ decreases when $g$ increases: (R) true.
(R) is exactly why (A) happens.
So the answer is (c).

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