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

Options

A. 9/4g/cc
B. 4/9 g/cc
C. 8/3 g/cc
D. 2/9g/cc

Answer

C

Explanation

According to law of floatation, wt. of body in water = wt. of liquid displaced
`thereforeVp_(s)g=(2V)/3p_(w)grArrp_(s)=2/3p_(w)`
Similarly in liquid,
`Vp_(s)g=1/4.Vp_(l)grArrp_(l)=4p_(s)`
or `p_(l)-4. 2/3p_(w)-8/3p_(w)`
`pl=8/3xx1gcm^(-3)`
So the correct choice is (c).