A horizontal pipeline carries water in a streamline flow. At a point along the pipe, where the cross- sectional area is `10cm^2`, the water velocity is `1ms^-1` and the pressure is 2000 Pa. The pressure of water at another point where the cross-sectional area is `5cm^2`, is........Pa. (Density of water `=10^3kg.m^-3`)

Explanation

According to equation of continuity
`A_(1)v_(1)=A_(2)v_(2),v_(2)=(10)/(5)xx1=2(m)/(s)`
Now, according to Bernoulli's equation
`P_(1)+(1)/(2)rhov_(1)^(2)=P_(2)+(1)/(2)rhov_(2)^(2) ( :'` horizontal pipe)
`2000+(1)/(2)10^(3)(1)^(2)=P_(2)+(1)/(2)(10^(3))(2^(2)),P_(2)=500Pa`