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
    In the figure shown, a light container is kept on a horizontal rough surface of coefficient of friction \[\mu =\frac{Sh}{V}\]. A very small hole of area S is made at depth h. Water of volume V is filled in the container. The friction is not sufficient to keep the container at rest. The acceleration of the container initially is   

    A) \[\frac{V}{Sh}g\]

    B) \[g\]

    C) Zero

    D) \[\frac{Sh}{V}g\]

    Correct Answer: D

    Solution :

    [d] Let the density of water be p, then the force by escaping liquid on container\[=\rho S{{\left( \sqrt{2gh} \right)}^{2}}\] \[\therefore \]     Acceleration of container \[a=\frac{2\rho Sgh-\mu \rho Vg}{\rho V}=\left( \frac{2Sh}{V}-\mu  \right)g\] Now, \[\mu =\frac{Sh}{V}\]                     \[\therefore \,\,a=\frac{Sh}{V}g\]


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