Question

A body floats with $\frac{1}{3}rd$ of its volume outside water and with $\frac{3}{4}$th of its volume outside a given liquid, then the density of the given liquid is equal to

• A. $\frac{3}{8}$ g/cc
• B. $\frac{8}{3}$ g/cc
• C. $\frac{9}{4}$ g/cc
• D. $\frac{4}{9}$ g/cc

Answer 1

The correct option is B $\frac{8}{3}$ g/cc

relative density=density of substance/density of water

since,body floats with 13rd13rd of its volume outside water ,therefore 2/3 of the body is in water

relative density =(2/3)xdensity of substance/1000

relative density=2xdensity of substance/3000

now, 2x(density of substance/3000)= (1/4)density of liquidxdensity of substance/1000

density of liquid=8/3 g/cc