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 in the bottom of tank having water. If total pressure at bottom is 3 atm (1 atm = 105N/m2) then the velocity of water flowing from hole is                  [CPMT 2002]

    A)            \[\sqrt{400}\,m/s\]           

    B)            \[\sqrt{600\,}\,m/s\]        

    C)            \[\sqrt{60}\,m/s\]             

    D)            None of these

    Correct Answer: A

    Solution :

                       Pressure at the bottom of tank \[P=h\rho g=3\times {{10}^{5}}\frac{N}{{{m}^{2}}}\] Pressure due to liquid column                                                   Pl  = \[3\times {{10}^{5}}-1\times {{10}^{5}}=2\times {{10}^{5}}\]                    and velocity of water \[v=\sqrt{2gh}\] \[\therefore \ v=\sqrt{\frac{2{{P}_{l}}}{\rho }}=\sqrt{\frac{2\times 2\times {{10}^{5}}}{{{10}^{3}}}}=\sqrt{400}\,m/s\]


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