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. `3:4`
C. `3:2`
D. `2:3`

Answer

B

Explanation

`V_(A)rho_(A) = 1/2 V_(A)xx1 or rho_(A) = 1/2`
Again, `V_(B)rho_(B) = 2/3 V_(B) xx 1 xx rho_(B) = 2/3`
`(rho_A)/(rho_B) = 1/2 xx 3/2 = 3/4`.