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) \[\rho =\frac{{{\rho }_{1}}{{\rho }_{2}}}{{{\rho }_{1}}+{{\rho }_{2}}}\]
Correct Answer: A
Solution :
\[\rho =\frac{\text{Total mass}}{\text{Total volume }}=\frac{{{m}_{1}}+{{m}_{2}}}{2V}=\frac{V\left( {{\rho }_{1}}+{{\rho }_{2}} \right)}{2V}\] \[=\frac{{{\rho }_{1}}+{{\rho }_{2}}}{2}\]You need to login to perform this action.
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