question_answer

In a cylindrical water tank, there are two small holes A and B on the wall at a depth of \[{{h}_{1}},\] from the surface of water and at a height of \[{{h}_{2}}\] from the bottom of water tank. Surface of water is at height of \[{{h}_{2}}\] from the bottom of water tank. Surface of water is at height H from the bottom of water tank.

Water coming out from both holes strikes the ground at the same point & Find the ratio of \[{{h}_{1}}\]and \[{{h}_{2}}\][JEE ONLINE 26-05-2012]

A)  Depends on H  

B)       1 : 1

C)  2 : 2                

D)       1 : 2

Correct Answer: A

Solution :

[a] Range is same for both holes

Squaring both sides,

On solving we get,

Hence, the ratio of   depend on H.