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Q.

A large open tank has two holes in the walls. 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 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:

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a

2πL

b

L2π

c

L

d

L2π

answer is B.

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Detailed Solution

Velocity of efflux when the hole is at depth h , v=2gh Rate of flow of water from square hole,Q1=a1v1=L22gy Rate of flow of water from circular hole,Q2=a2v2=πR22g(4y) According to problem,L22gy=πR22g(4y) or R=L2π
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