Question

If two liquids of same volume but different densities ${\rho }_1$ and ${\rho }_2$ are mixed, then density of mixture is given by

• A. $\rho =\frac{{\rho }_1+{\rho }_2}{2}$
• B. $\rho =\frac{{\rho }_1+{\rho }_2}{2{\rho }_1{\rho }_2}$
• C. $\rho =\frac{2{\rho }_1{\rho }_2}{{\rho }_1+{\rho }_2}$
• D. $\rho =\frac{{\rho }_1{\rho }_2}{{\rho }_1+{\rho }_2}$

Answer 1

Answer: (A)

$\rho =\frac{{\rho }_1+{\rho }_2}{2}$

$\text{let vol. of each}liq.=v$

$d=\frac{\mathrm{total\; mass}}{\text{total}vol.}$

$=\frac{p_{1}v+p_{2}v}{2v}=\frac{{\rho }_1+p_2}{2}$

$\text{Answer:}\left(A\right)$