Question

A body floats with $\frac{1}{3}$ of its volume outside water and $\frac{3}{4}$ of its volume outside another liquid. The density of the liquid is:

• A. $\frac{9}{4}\times {10}^{2}kg/m^3$
• B. $\frac{4}{9}\times {10}^{3}kg/m^3$
• C. $\frac{8}{3}\times {10}^{2}kg/m^3$
• D. $\frac{3}{4}\times {10}^{3}kg/m^3$

Answer 1

Answer: (C)

$\frac{8}{3}\times {10}^{2}kg/m^3$

$mg={\rho }_w\frac{2V}{3}g={\rho }_l\frac{v}{4}g$

${\rho }_l=100\times \frac{2}{3}\times 4=\frac{800}{3}$