AIPMT PRELIMS 2006 Physics Simple Harmonic Motion MCQ Question
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:
T ∝ √ρ
T ∝ (1/√A)
T ∝ (1/ρ)
T ∝ (1/√m)
Correct Answer
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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