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MHT CET 2026 (16 Apr, Shift 1) · Other SHM Systems

Other SHM Systems question from MHT CET 2026 (16 Apr, Shift 1)

Q5MHT CET 2026 · 16 APR · SHIFT 1Medium

Other SHM Systems

A rectangular block of mass 'm' and cross-sectional area 'A' floats on a liquid of density 'ϱ\varrho'. It is given a small vertical displacement from equilibrium, it starts oscillating with frequency (g=acceleration due to gravity)

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Answer: (c)

  1. Restoring force AϱgxA\varrho g x, so ω=Aϱgm\omega = \sqrt{\frac{A\varrho g}{m}}.
  2. f=ω2π=12πAϱgmf = \frac{\omega}{2\pi} = \frac{1}{2\pi}\sqrt{\frac{A\varrho g}{m}}, answer (c).
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