Momentum and CollisionHard
Question
A large open tank has two holes in the wall. One is square hole of side L at a depth y from 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 our per second from both holes are the same. Then, R is equal to
Options
A.L / √2π
B.2πL
C.L
D.L / 2π
Solution
Velocity of effulx at a depth h is given by v =
. Volume of water flowing out per second from both the holes are equal.
∴ a1 v1 = a2 v2
or (L2)
= πR2
or R 
. Volume of water flowing out per second from both the holes are equal.∴ a1 v1 = a2 v2
or (L2)
= πR2
or R 
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