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A large open tank has two holes in the w...

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 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

`L/sqrt(2pi)`

B

`2pi/L`

C

`L`

D

`L/2pi`

Text Solution

Verified by Experts

The correct Answer is:
A
Velocity of efflux at a depth `h` is given by `V=sqrt(2gh)`

Given `aV_(1)=a_(2)V_(2)`
`L^(2)sqrt(2gy)=piR^(2)sqrt(2g4y)` or `R=L/sqrt(2pi)`
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