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JEE Main202624 January 2026Morning ShiftPhysicsOscillationsActual

A cylindrical block of mass M and area of cross section A is floating in a liquid of density and with its axis vertical. When depressed a little and released the block starts oscillating. The period of oscillation is _ _ _ _ .

Options

  1. A2 M A g
  2. BA M g
  3. C2 A M g
  4. D2 M A g

Correct answer

D. 2 M A g

Step-by-step solution

When the block is depressed by distance x , the additional buoyant force is F = Agx acting upward as restoring force. Equation of motion: M d^2x dt^2 = - Agx . This gives ^2 = Ag M . Period of oscillation: T = 2 = 2 M Ag

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