A long cylindrical tank of radius `1m` is being filled by a pipe of radius `2cm`. The incoming water has a velocity of `1 m//s` and pressure is `2000 Pa`. The pressure of water at another point where the cross-sectional area is `5cm^(2)` is

Options

A. `0.4 m`
B. `0.6m`
C. `0.8 m`
D. the level will continue to increase

Answer

C

Explanation

In steady state, `A_(1)v_(1) = A_(2)V_(2)`
`pi xx 2^(2)xx 1 = pi xx 1^(2) xx sqrt(2gh)`
`implies h = (16)/(20) = 0.8m`.