AIPMT PRELIMS2000Physics-Oscillations

AIPMT PRELIMS 2000 Physics Simple Harmonic Motion MCQ Question

Type: MCQ-numerical-Medium-Class 11

Two spherical bob of masses Mₐ and Mᵦ are hung vertically from two strings of length ℓₐ and ℓᵦ respectively. They are executing SHM with frequency relation fₐ = 2fᵦ. Then :

A

ℓₐ = ℓᵦ / 4

B

ℓₐ = 4ℓᵦ

C

ℓₐ = 2ℓᵦ & Mₐ = 2Mᵦ

D

ℓₐ = ℓᵦ / 2 & Mₐ = Mᵦ / 2

Correct Answer

Option A

Detailed Explanation

The frequency of a pendulum is inversely proportional to the square root of its length. Given fₐ = 2fᵦ, ℓₐ must be 4 times ℓᵦ.

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