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 g//c c`
B. `4/9 g // c c`
C. `8/3 G//c c`
D. `3/8 g //c c`

Answer

C

Explanation

`=`Let v be the volume of the body
weight of body = weight of water displaced
` =2/3 Vg `
weight of the body in another liquid
`=1/4 V xx rho xx g `
` therefore ` 2/3 Vg = 1/4 V rho g `
` or rho = (8 )/(3) g //c c `