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Most Important Selected Qs for JEE AdvancedPhysicsOscillations

A cylindrical block of density d stays fully immersed in a beaker filled with two immiscible liquids of different densities d₁ and d₂ . The block is in equilibrium with half of it in liquid 1 and the other half in liquid 2. If the block is given small downward displacement, neglecting frictional loses, then

Options

  1. Ait executes simple harmonic motion
  2. Bit motion is oscillatory but not SHM
  3. Cfrequency of oscillation depends on size of the cylinder
  4. Ddisplacement of centre of cylinder is symmetric about its equilibrium position

Correct answer

D. displacement of centre of cylinder is symmetric about its equilibrium position

Step-by-step solution

When the block is displaced slightly downwards. Restarting force, F _ R = Axgd ₂- Axgd ₁ aligned & F_R= Agx (d₂-d₁ )(S H M) & = G (d₂-d₁ ) L d_E aligned

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