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 large tank filled with water to a height 'A' is to be emptied through a small hole at the bottom. The ratio of time taken for the level of water to fall from h to\[\frac{h}{2}\]and \[\frac{h}{2}\]to zero is

    A) \[\sqrt{2}\]

    B) \[\frac{1}{\sqrt{2}}\]

    C) \[\sqrt{2}-1\]

    D) \[\frac{1}{\sqrt{2}-1}\]

    Correct Answer: C

    Solution :

    [c] \[t=k(\sqrt{{{h}_{1}}}-\sqrt{{{h}_{2}}})\] \[\therefore \,\,\,{{t}_{1}}=k(\sqrt{h}-\sqrt{h/2})\]and \[{{t}_{2}}=k(\sqrt{h/2}-0)\] \[\therefore \,\,\frac{{{t}_{1}}}{{{t}_{2}}}=\sqrt{2}-1\]


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