Gravitation JEE Main | Pendulum Time Period Assertion

JEE MAIN 2025

29-01-2025 SHIFT-1

Question

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 :

Select the correct option:

A

Both (A) and (R) are true but (R) is not the correct explanation of (A)

B

(A) is false but (R) is true

C

(A) is true but (R) is false

D

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

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

As h increases, g decreases, T in creases
${\rm{T}} = 2\pi \sqrt {\frac{\ell }{{\;{\rm{g}}}}} $ $\;{\rm{g}} = \frac{{{{\rm{g}}_0}{{\rm{R}}^2}}}{{{{({\rm{R}} + {\rm{h}})}^2}}}$

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JEE Main

Physics

Easy

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