KVPY Sample Paper KVPY Stream-SX Model Paper-20

  • question_answer
    Water is filled to a height H in a dam-with a stopping wall of width \[\omega .\]
    Force on face of dam is (take,\[g=10\,m{{s}^{-\,2}}\])

    A) \[\omega \rho g{{H}^{2}}\]

    B) \[\frac{2}{3}\omega \rho g{{H}^{2}}\]

    C) \[\frac{1}{2}\rho g\omega {{H}^{2}}\]

    D) \[\frac{1}{3}\omega \rho g{{H}^{2}}\]

    Correct Answer: C

    Solution :

    Force \[{{\text{P}}_{avg}}\times \text{Area}\] \[=\left( \frac{{{P}_{\text{top}}}+{{P}_{\text{bottom}}}}{2} \right)\times \text{Area}=\frac{1}{2}\rho g\omega {{H}^{2}}\]


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