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))`.

Answer

50

Explanation

Let v be velocity of efflux and v. be the velocity of fall of liquid level in tank. Using equation of continuity for tube of flow formed between level of tank and orifice is
`Av.=av`………i

Applying Bernoulli.s theorem, we have
`p/p+1/2v^(2)+gh=p/p+1/2v^(2)+0`
or `v^(2)+(2gh)/(1-(a/A)^(2))=(2xx10xx(3-0.525))/(1-(0.1)^(2))`
`=50(m//s)^(2)`
`=50m^(2)//s^(2)`