Question

Density of a body wrt water is $\rho$. What is the density of water wrt the body?

• A. $\rho$
• B. ${\rho }^2$
• C. $\frac{1}{\rho }$
• D. $\frac{1}{{\rho }^2}$

Answer 1

The correct option is C $\frac{1}{\rho }$

Relative density of a substance 1 with respect to some other substance 2 is

${\rho }_r=\frac{{\rho }_1}{{\rho }_2}$

Hence density of body with respect to water=$\frac{{\rho }_{body}}{{\rho }_{water}}$

Thus the density of water with respect to the body=$\frac{{\rho }_{water}}{{\rho }_{body}}=\frac{1}{\rho }$