question_answer

A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in \[m{{s}^{-1}}\]) through a small hole on the side wall of the cylinder near its bottom, is                                                         [AIEEE 2002]

A)  10    

B)                   20    

C)  \[25.5\]            

D)       5

Correct Answer: B

Solution :

[b] By applying the Bernoulli's theorem just inside and outside the hole. Take reference line for gravitational potential energy at the bottom of the vessel.

Let  be the atmospheric pressure,  be the density of liquid and v be the velocity at which water is coming out.