Physics · 2013
JEE Main · 25 April 2013, Shift 1 · Q2
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…
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 $\displaystyle \sigma$ 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 :
Official answer
(4)
$\displaystyle 2 \pi\left[\frac{M}{(k+A \sigma g)}\right]^{1 / 2}$
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JEE Main 2013 Physics question, with the answer from NTA’s final answer key. Where our answers come from.