JEE Main & Advanced Physics Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन Question Bank Self Evaluation Test - Mechanical Properties of Fluids

  • question_answer
    Two non-mixing liquids of densities \[\rho \] and n\[\rho \] \[(n>1)\] are put in a container. The height of each liquid is h. A solid cylinder of length L and density d is put in this container. The cylinder floats with its axis vertical and length \[pL(p<1)\]in the denser liquid. The density d is equal to:

    A) \[\left\{ l+\left( n+l \right)p \right\}\rho ~~\]

    B) \[~\left\{ 2+\left( n+1 \right)p \right\}\rho \]

    C) \[\left\{ 2+\left( n-1 \right)p \right\}\rho \]

    D) \[\left\{ l+\left( n-1 \right)p \right\}\rho \]

    Correct Answer: D

    Solution :

    [d] As we know,               Pressure\[P=Vdg\] Here \[LAdg=(pL)A(n\rho )g\] \[+(1-p)LA\rho g\] \[\Rightarrow \,\,d=(1-p)\rho +pn\,\rho =[1+(n-1)p]\rho \]


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