Properties Of Solids And Liquids Question 299
Question: If two liquids of same masses but densities $ {\rho _{1}} $ and $ {\rho _{2}} $ respectively 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: C
Solution:
$ \rho =\frac{\text{Total mass}}{\text{Total volume }}=\frac{2m}{V _{1}+V _{2}}=\frac{2m}{m\left( \frac{1}{{\rho _{1}}}+\frac{1}{{\rho _{2}}} \right)} $ $ \rho =\frac{2{\rho _{1}}{\rho _{2}}}{{\rho _{1}}+{\rho _{2}}} $
