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

If two different bodies A and B are floating in the same liquid then
`(P_(A))/(P_(B))=((f_("in"))A)/((f_("in"))B)=(1//2)/(2//1)xx(3)/(4)`.