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In a container, filled with water upto a...

In a container, filled with water upto a height h, a hole is made in the bottom. The velocity of water flowing out of the hole is

A

proportional to h

B

proportional to `h^(1//2)`

C

proportional to `h^2`

D

independent of h

Text Solution

Verified by Experts

The correct Answer is:
C
When the water at the drop reaches the bottom its velocity is give by
`v^2=u^2+2gh`
`:." "v^2=2gh" ":." "v=sqrt(2gh)" ":." "vpropsqrth`
Thus the velocity of water flowing out of the hole is proportional to `h^(1//2)`
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