Question

A spherical ball of radius R is floating at the interface of two liquids with densities `rho` and `2rho`. The volumes of the ball immersed in two liquids are equal. Answer the following questions:
Find the force exerted by the liquid with density `2rho` on the ball
A. `piR^(2)rhog(H+(2R)/(3))`
B. `(2)/(3)piR^(2)rhog`
C. `(4)/(3)piR^(2)rhog`
D. `2piR^(2)rhog(H+(2R)/(3))`

Answer 1

Correct Answer - D
`piR^(2)2Hrhog+(2)/(3)piR^(3)2rhog=F`
`2piR^(2)Hrhog+(4piR^(3)rhog)/(3)=F,2piR^(2)rhog(H+(2R)/(3))=F`