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Question 31179
JEE Physics · Hard

Simple Harmonic Motion: Floating Oscillation MCQ

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Floating OscillationHardQuestion 31179

Question

A test tube of mass m, area A, floats in liquid. When pushed down and released, effective spring constant is:
  1. A
    ρ_l Ag
    Correct
  2. B
    mg/A
  3. C
    ρ_l g/A
  4. D
    ρ_l A/g

Correct answer

ρ_l Ag

Explanation

When pushed down by x, extra buoyant force = ρ_l × A × x × g. This is the restoring force: k_eff = ρ_l Ag.

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