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

  • question_answer
    A rectangular vessel when full of water takes 10 minutes to be emptied through an orifice in its bottom. How much time will it take to be emptied when half filled with water

    A)             9 minute                                 

    B)             7 minute

    C)             5 minute                                 

    D)              3 minute

    Correct Answer: B

    Solution :

                       Time taken to be emptied for h height, \[t=\sqrt{\frac{2h}{g}}\] and for \[\frac{h}{2}\] height, \[t'=\sqrt{\frac{2h/2}{g}}=\sqrt{\frac{h}{g}}\] \ \[\frac{t'}{t}=\frac{1}{\sqrt{2}}\Rightarrow t'=\frac{t}{\sqrt{2}}=\frac{10}{\sqrt{2}}=7\ minute\]


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