JEE Main & Advanced Physics Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन Question Bank Pressure and Density

  • question_answer
    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)            \[\rho =\frac{{{\rho }_{1}}{{\rho }_{2}}}{{{\rho }_{1}}+{{\rho }_{2}}}\]

    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.
You will be redirected in 3 sec spinner