A body floats with one-third of its volume outside water and `3//4` of its volume outside another liquid. The density of another liquid is :

Options

A. `9/4`
B. `4/9`
C. `8/9`
D. `8/3`

Answer

C

Explanation

Let density of body be `sigma`
`(sigma)/(rho_w) = 1 -1/3 = 2/3` ..(1)
`(sigma)/(rho_l) = 3/4` …(2)
From (1) and (2) , `(rho_l)/(rho_w) = 8/9`
`implies rho_(l) = 8/9 rho_(w) = 8/9 xx 1 = 8/9 g cm^(-3)`.