1.

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 sigma 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»

Smaller than `2pi[(M)/((K+A sigma g))]^((1)/(2))`
`2pi sqrt((M)/(k))`
Larger than `2pi[(M)/((k+A sigma g))]^((1)/(2))`
`2pi[(M)/((k+A sigma g))]^((1)/(2))`

ANSWER :A


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