A solid sphere of radius r is floating at the interface of two immiscible liquids of densities `rho_(1)` and `rho_(2)(rho_(2) gt rho_(1))`, half of its volume lying in each. The height of the upper liquid column from the interface of the two liquids is h. The force exerted on the sphere by the upper liquid is (atmospheric pressure `= p_(0)` and acceleration due to gravity is g):

Options

A. `p_(0)pi r^(2) + (h-(2)/(3)r) pi r^(2)rho_(1)g`
B. `(h-(2)/(3)r)pi r^(2) rho_(1) g`
C. `(2)/(3)pi r^(2) rho_(1) g`
D. `p_(0) xx pir^(2)`

Answer

A