Water is filled in a cylindrical container to a height of `3m`. The ratio of the cross-sectional area of the orifice and the beaker is `0.1`. The square of the speed of the liquid coming out from the orifice is `(g=10m//s^(2))`.

Options

A. 50 `m^2//s^2`
B. 50.5 `m^2//s^2`
C. 51 `m^2//s^2`
D. 52 `m^2//s^2`

Answer

A

Explanation

Velocity of efflux,
`v^2=(2gh)/(1-(a/A)^2)=(2xx10xx(3-0.525))/(1-(0.1)^2)`
`v^2=50("m/sec")^2`