A uniform cylinder of length $L$ and mass $M$ having crosssectional 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. The extension $x_0$ of the spring when it is in equilibrium is
A uniform cylinder of length $L$ and mass $M$ having crosssectional 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. The extension $x_0$ of the spring when it is in equilibrium is
- [JEE MAIN 2013]
- A
$\frac{{Mg}}{k}$
- B
$\;\frac{{Mg}}{k}\left( {1 - \frac{{LA\sigma }}{M}} \right)$
- C
$\;\frac{{Mg}}{k}\left( {1 - \frac{{LA\sigma }}{{2M}}} \right)$
- D
$\;\frac{{Mg}}{k}\left( {1 + \frac{{LA\sigma }}{M}} \right)$
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- [AIIMS 2015]
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