AIPMT PRELIMS2006Physics-Oscillations

AIPMT PRELIMS 2006 Physics Simple Harmonic Motion MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A rectangular block of mass m and area of cross-section A floats in a liquid of density ρ. If it is given a small vertical displacement from equilibrium it undergoes oscillation with a time period T. Then:

A

T ∝ √ρ

B

T ∝ (1/√A)

C

T ∝ (1/ρ)

D

T ∝ (1/√m)

Correct Answer

Option B

Detailed Explanation

The time period of oscillation for a floating object is inversely proportional to the square root of the cross-sectional area, as derived from the principles of simple harmonic motion.

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