A prism shaped styrofoam of density `rho_(styrofoam) (ltrho_(water))` is held completely submerged in water. It lies with its base horizontal. The base of foam is at depth `h_(0)` below water surface and atmospheric pressure is `P_(0)` Surface of water is open to atmosphere. Styrofoam prism is held in equilibrium by the string attached symmetrically as shown (Take `rho_(styrofoam)=rho_(f), rho_(water)=rho_(w))`.
Net force exerted by liquid on the styrofoam is

Options

A. `sqrt(2)rho_(w)gl^(2)L`
B. `2rho_(w)gl^(2)L`
C. `rho_(w)g (l^(2)L)/2`
D. `rho_(w)gl^(2)L`

Answer

C

Explanation

Net force exerted by liquid on styrofoam is buoyaut force `=rho_(w)g (l^(2)L)/2`