JEE · NEET Previous Year Question

A cylindrical block of mass and area of cross section 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 .

Topic: JEE PYQ

Answer: D. Full step-by-step solution below.

  1. A
  2. B
  3. C
  4. D

Correct answer: D

Solution

(d) When the block is depressed by distance , the additional buoyant force is acting upward as restoring force.
Equation of motion: .
This gives .
Period of oscillation:

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