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A liquid is filled in a container to a h...

A liquid is filled in a container to a height H. A small hole is opened in the side of the container a height h below the surface of the liquid. The distance L from the bottom of the container of the point where the stream of liquid leaving the container meets the ground is :

A

`2sqrt(h(H-h))`

B

`sqrt(h(H-h))`

C

`2sqrt((h^(2))/(H-h))`

D

`sqrt((h^(2))/(H-h))`

Text Solution

Verified by Experts

The correct Answer is:
A
Velocity with which the liquid leaves the hole, `v=sqrt(2gh)`
Time taken by any particle of the liquid to travel from the hole to the ground, `t=sqrt((2(H-h))/(g))`
Therefore, `L=vt=(sqrt(2gh))(sqrt((2(H-h))/(g)))=2sqrt(h(H-h))`
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