JEE Main 2013 Physics question
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 σ 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 :
Answer: (4)
Solution
For a downward displacement x, the spring supplies an extra restoring force kx and the extra submerged volume Ax supplies an extra
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