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 at equilibrium position. The extension x0 of the spring when it is in equilibrium is :(Here k is spring constant)

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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. The extension x₀ of the spring when it is in equilibrium is :

(Here k is spring constant)

$\frac{Mg}{k}$

$\frac{Mg}{k} (1 - \frac{LAσ}{2 M})$

$\frac{Mg}{k} (1 - \frac{LAσ}{M})$

$\frac{Mg}{k} (1 + \frac{LAσ}{M})$

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$Mg = {kx}_{0} + \frac{σAL}{2} g$

$\Rightarrow x_{0} = \frac{Mg}{k} (1 - \frac{LAσ}{2 M})$