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Physics · 2013
JEE Main 2013 · 2013-04-07 Offline · Q49
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. The extension $\displaystyle x_0$ of the spring when it is in equilibrium is :
Official answer
(4)
$$\frac{\mathrm{Mg}}{\mathrm{k}}\left(1-\frac{\mathrm{LA} \sigma}{2 \mathrm{M}}\right)
$$
(Here k is spring constant)
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JEE Main 2013 Physics question, with the answer from NTA’s final answer key. Where our answers come from.