Verified Solution • 2025–26 Session moderate

QJEEM25Phc9aa: JEE Main 2025 Physics - Class 11 JEEM25Phc9aa Solution: Given below are two statements: one is labelled as Assertion…

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 :

Multiple Choice Options

  • A Both (A) and (R) are true but (R) is not the correct explanation of (A).
  • B (A) is true but (R) is false.
  • C Both (A) and (R) are true and (R) is the correct explanation of (A).
  • D (A) is false but (R) is true.

Step-by-Step Verified Solution

amp; As h increases, g decreases, T increases amp;amp;T=2πℓ gamp; g=g0R2(R+h)2\begin{aligned}&\text { As } h \text { increases, } g \text { decreases, } \mathrm{T} \text { increases }\\&\begin{aligned}& \mathrm{T}=2 \pi \sqrt{\frac{\ell}{\mathrm{~g}}} \\& \mathrm{~g}=\frac{\mathrm{g}_0 \mathrm{R}^2}{(\mathrm{R}+\mathrm{h})^2}\end{aligned}\end{aligned}

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