A uniform cylinder of length and mass having cross-sectional area is suspended

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

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

\sigma

at equilibrium position. The extension

x_0

of the spring when it is in equilibrium is: [Main 2013] (1)

\frac{Mg}{k}

(2)

\frac{Mg}{k} \left( 1 - \frac{LA\sigma}{M} \right)

(3)

\frac{Mg}{k} \left( 1 - \frac{LA\sigma}{2M} \right)

(4)

\frac{Mg}{k} \left( 1 + \frac{LA\sigma}{M} \right)