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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 one 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 holes are the same. Then R is equal to

a
L2π
b
2πL
c
L
d
L2π

detailed solution

Correct option is A

. (Av)  square =(Av)  circleL22gy=πR22g4y⇒L2=2πR2R2=L22π⇒R=L2π

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