A horizontal pipeline carries water in a streamline flow. At a point along the tube where the cross sectional area is `10^(-2)(m^2)`, the water velcity is `2m//s` and the pressure is 8000Pa. The pressure of water at another point where cross sectional area is `0.5xx(10)^(-2)(m^2)` is

Options

A. `4000Pa`
B. `1000Pa`
C. `2000Pa`
D. `3000Pa`

Answer

C

Explanation

From equation of continuity
`a_(1)v_(1)=a_(2)v_(2)" "impliesv_(2)=4m//s`
Applying Bernoulli's theorem
`P_(1)+(1)/(2)rhov_(1)^(2)=P_(2)+(1)/(2)rhov_(2)^(2)`
`8000+500xx(2)^(2)=P_(2)+500xx(4)^(2)impliesP_(2)=2000Pa`