A uniform cube of mass `M` is floating on the surface of a liquid with three fourth of its volume immersed in the liquid `(density =rho)`. The length of the side of the cube is equal to

Options

A. `(4M//3rho)^(2//3)`
B. `(M//3rho)^(2//3)`
C. `(M//4rho)^(2//3)`
D. None of these

Answer

D

Explanation

Weight = upthrust
`:. Mg=((3)/(4) a^(3))rhog`
`:.a=((4M)/(3 rho))^(1//3)`.