Question

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

• A. $\frac{9}{4}g cc^{-1}$
• B. $\frac{4}{0}g cc^{-1}$
• C. $\frac{8}{3} gcc^{-1}$
• D. $\frac{3}{8}g cc^{-1}$

Answer 1

Answer: (C)

Let V be volume of the body.
In water weight of body = weight of water displaced
$=\frac{2}{3}V\times1\times g$
In another liquid, weight of body
= $\frac{2}{3}Vg=\frac{1}{4}V\rho g$
or $\rho=\frac{8}{3}g cc^{-1}$