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A uniform cylinder of length L and mass M having cross-sectional area A is suspended, with its length vertical, from a fixed point by a massless spring, such that it is half submerged in a liquid of density at equilibrium position. When the cylinder is given a downward push and released, it starts oscillating vertically with a small amplitude. The time period T of the oscillations of the cylinder will be :

Options

  1. ASmaller than 2 [ M (k+A g) ]^ 1 / 2
  2. B2 M k
  3. CLarger than 2 [ M (k+A g) ]^ 1 / 2
  4. D2 [ M (k+A g) ]^ 1 / 2

Correct answer

A. Smaller than 2 [ M (k+A g) ]^ 1 / 2

Step-by-step solution

No solution is given.

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