Two solids `A` and `B` floats in water. It is observed that `A` floats with half of its volume immersed and `B` Floats with `2//3` of its volume immersed. The ratio of densities of `A` and `B` is

Options

A. `(4)/(3)`
B. `(2)/(3)`
C. `(3)/(4)`
D. `(1)/(3)`

Answer

C

Explanation

`f_("in")=(1)/(2)`,`f_("in")'=(2)/(3)`,`(f_("in"))/(f_("in")')=((rho)/(sigma))/((rho')/(sigma))=(rho)/(rho')`
or `((1)/(2))/((2)/(3))=(rho)/(rho')`
or `(rho)/(rho')=(3)/(4)`