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A large open tank has two holes in the wall. One is a square hole of side $'L'$ at a depth $'y'$ from the top and the other is a circular hole of radius R at a depth $'4y'$ from the top. When the tank is completely filled with water, the quantities of water flowing out per second from the two holes are the same. Then value of R is :

\[\begin {array} {1 1} (a)\;\frac{L}{\sqrt {2 \pi}} & \quad (b)\;2 \pi L \\ (c)\;L \sqrt {\frac{2}{\pi}} & \quad (d)\;\frac{L}{2 \pi} \end {array}\]
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$ (a)\;\frac{L}{\sqrt {2 \pi}} $
answered Nov 7, 2013 by pady_1

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