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 both the holes are the same. Then $ R$ is equal to
IIT 2000,AIEEE 2012, Diffcult
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