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

  • question_answer
    There is a hole of area A at the bottom of cylindrical vessel. Water is filled up to a height h and water flows out in t second. If water is filled to a height 4h, it will flow out in time equal to                                    [MP PMT 1997]

    A)            t     

    B)            4t   

    C)            2 t  

    D)            t/4

    Correct Answer: C

    Solution :

                       Time required to emptied the tank \[t=\frac{A}{{{A}_{0}}}\sqrt{\frac{2H}{g}}\]             \ \[\frac{{{t}_{2}}}{{{t}_{1}}}=\sqrt{\frac{{{H}_{2}}}{{{H}_{1}}}}=\sqrt{\frac{4h}{h}}=2\]  \[\therefore \ \ {{t}_{2}}=2t\]


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