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
    A homogeneous solid cylinder of length L (\[L<H/2\]), cross-sectional area \[A/5\] is immersed such that it floats with its axis vertical at the liquid- liquid interface with length \[L/4\] in the denser liquid as shown in the figure. The lower density liquid is open to atmosphere having pressure\[{{P}_{0}}\]. Then density D of solid is given by

    A) \[\frac{5}{4}d\]

    B) \[\frac{d}{4}\]

    C) \[4d\]

    D) \[\frac{d}{5}\]

    Correct Answer: A

    Solution :

    [a] Weight of cylinder = Upthrust due to upper liquid + Upthrust due to lower liquid. \[D\left( \frac{A}{5}\times L\times g \right)=d\left( \frac{A}{5} \right)\left( \frac{3}{4}L \right)g+2d\left( \frac{A}{5} \right)\left( \frac{L}{4} \right)\times g\] \[\therefore \,\,D=\frac{5d}{4}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner