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A cylinder of height 20m is completely f...

A cylinder of height 20m is completely filled with water. The velocity of effux of water `(in ms^(-1))` through a small hole on the side wall of the cylinder near its bottom is

A

10

B

20

C

25.5

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
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 `p_(0)` is the atmospheric pressure, `rho` the density of liquid and v the velocity at which water is coming out.
`p("inside")+rhogh+0 p_("outside")+(rhov^(2))/(2)`
`implies" "p_(0)+rhogh=p_(0)+(rhov^(2))/(2)`
`"or" " "v=sqrt(2gh)=sqrt(2xx10xx20)=20ms^(-1)`
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