A solid uniform ball having volume V and density `rho` floats at the interface of two immiscible liquids as shown in the figure. The densities of the upper and the lower liquids are `rho_(1)` and `rho_(2)` respectively such `rho_(1) lt rho_(2)`. find the ratio of the volume of the ball in the upper liquid to the lower liquid? `(rho_(1)=rho//2, rho_(2)=5rho)`

Options

A. `(rho-rho_(2))/(rho_(1)-rho_(2))`
B. `(rho_(1))/(rho_(1)-rho_(2))`
C. `(rho_(1)-rho)/(rho_(1)-rho_(2))`
D. `(rho_(1)-rho_(2))/(rho_(2))`

Answer

C