CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2011

  • question_answer
    A large open tank has two holes in its wall. One is a square hole of side a at a depth of\[x\] from the top and the other is a circular hole of radius r at a depth\[4x\] from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both holes are the same. Then r is equal to

    A)  \[2\pi a\]                           

    B)         \[a\]                    

    C)  \[\frac{a}{2\pi }\]                           

    D)         \[\frac{a}{\pi }\]

    E)  \[\frac{a}{\sqrt{2\pi }}\]

    Correct Answer: E

    Solution :

    We have    \[{{v}^{2}}=\rho gh\] \[{{a}^{2}}\sqrt{\rho gh}=\pi {{r}^{2}}\sqrt{\rho gh}\times 2\] \[r=\frac{\alpha }{\sqrt{2\pi }}\]


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