A wooden cube (density of wood d) of side l floats in a liquid of density ρ with its…

Physics · JEE Advanced · NTA ExamsOscillations and Waves

A wooden cube (density of wood d) of side l floats in a liquid of density ρ with its upper and lower surfaces horizontal. If the cube is pushed slightly down and released, it performs simple harmonic motion of period T. Then T is equal to
  1. \(2 \pi \sqrt{\frac{\ell \rho}{(\rho-d) g}}\)
  2. \(2 \pi \sqrt{\frac{\ell d}{\rho g}}\)
  3. \(2 \pi \sqrt{\frac{\ell \rho}{d g}}\)
  4. \(2 \pi \sqrt{\frac{\ell d}{(\rho-d) g}}\)

Answer

(B) 2 d g

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