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Physics · Simple Harmonic Motion

JEE Main 2025 — 29 January, Morning Shift — Question 27

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 correct answer from the options given below

  1. Option A:

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

  2. Option B:

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

    Correct
  3. Option C:

    (A) is true but (R) is false.

  4. Option D:

    (A) is false but ( R\mathbf{R} ) is true.

Answer: B

Step-by-step solution

As h increases, g decreases, T increases T=2πℓ g\mathrm{T}=2 \pi \sqrt{\frac{\ell}{\mathrm{~g}}} g=g0R2(R+h)2\mathrm{g}=\frac{\mathrm{g}_{0} \mathrm{R}^{2}}{(\mathrm{R}+\mathrm{h})^{2}}

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Paper
29 January, Morning Shift
Subject
Physics
Chapter
Simple Harmonic Motion
Topic
Simple Pendulum and Angular SHM
Given below are two statements: One is labelled as Assertion (A) and… | JEE Main 2025 PYQ with Solution · DhiX AI