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`)

Options

A. `200 Pa`
B. `400Pa`
C. `500Pa`
D. `800Pa`

Answer

C

Explanation

Since cross-sectional area is halved, therefore, velocity is doubled,
`Now, `P_(1) = 2000 Pa , v_(1)=1 ms^(-1)`
`P_(2) = ? , v_(2) = 2 ms^(-1)`
Again `P_(2) + 1/2 xx 1000 xx 2`
`=2000+1/2xx1000xx1xx1`
ir `P_(2) = 2000+500(1-4)=500Pa`.