Properties Of Solids And Liquids Question 300
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}}} $
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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} $
