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

A large open tank has two holes in its wall. Ine is a square hole of side a at a depath of x from the top and the other is a cirular hle of radius r at a depth 4x 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

`2pia`

B

a

C

`(a)/(2pi)`

D

`(a)/(sqrt(2pi))`

Text Solution

Verified by Experts

The correct Answer is:
D
We have, `v^(2)=rho gh`
`impliesa^(2)sqrt(rhogh)=pir^(2)Hxxrho`
`impliesr=(a)/(sqrt(2pi))`
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Knowledge Check

  • 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

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