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Question

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

A
L/2π
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B
2π/L
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C
L
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D
L/2π
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Solution

The correct option is A L/2π
Flow of water out of the holes per second are same-
A1V1=A2V2L22gy=2g(4y)(πR2)L2=2πR2L=2πRR=L2π

1139904_985615_ans_fd1ed6e48ae446c9bf8fc4d3f730403b.png

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