Question

Find the ratio of the relative densities of two substances if their masses are equal when the volume of one is 11/2 that of the other.

• A. $\frac{11}{2}$
• B. $\frac{11}{3}$
• C. $\frac{2}{11}$
• D. $\frac{3}{4}$

Answer 1

The correct option is C $\frac{2}{11}$

Given,

$V_A=\frac{11}{2}{V}_B$

$\&m_A=m_B=m\left(let\right)$

So, ${\rho }_A=\frac{m_A}{v_A}=\frac{2m}{11v_B}$

$\&{\rho }_B=\frac{m_B}{v_B}=\frac{m}{v_B}$

So Relative density $=\frac{{\rho }_A}{{\rho }_B}=\frac{2}{11}$