Fluid Mechanics Viscosity Question 220
Question: If two liquids of same volume but different densities $ {\rho_{1}} $ and $ {\rho_{2}} $ are mixed, then density of mixture is given by
Options:
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}}} $
Show Answer
Answer:
Correct Answer: A
Solution:
$ \rho =\frac{\text{Total mass}}{\text{Total volume }}=\frac{m_{1}+m_{2}}{2V}=\frac{V\left( {\rho_{1}}+{\rho_{2}} \right)}{2V} $ $ =\frac{{\rho_{1}}+{\rho_{2}}}{2} $
BETA
