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