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Q.

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 other is a circular hole of radius R at a depth 4y from the top. When tank is completely filled with water, the quantities of water flowing out per second from both holes are same. Then R is equal to

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a

L2π

b

2πL

c

L

d

L2π

answer is A.

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Detailed Solution

A1V1=A2V2 L22gy=πr22g4y r=L2π .
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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 other is a circular hole of radius R at a depth 4y from the top. When tank is completely filled with water, the quantities of water flowing out per second from both holes are same. Then R is equal to