# 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 of the spring when it is in equilibrium is : Option 1) (Here is spring constant) Option 2) (Here is spring constant) Option 3) (Here is spring constant) Option 4) (Here is spring constant)

As we have learned @2013

At equilibrium $F_{net } = 0$

$\Rightarrow Mg = k x_0 + \sigma \left ( \frac{AL}{2} \right )g$

$\Rightarrow kx_0 = Mg - \frac{\sigma AL}{2M}$

Option 1)

(Here is spring constant)

Option 2)

(Here is spring constant)

Option 3)

(Here is spring constant)

Option 4)

(Here is spring constant)

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