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A horizontal pipeline carries water in a...

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`)

A

100Pa

B

300 Pa

C

500 Pa

D

700 Pa

Text Solution

Verified by Experts

The correct Answer is:
C
From continuity equation
`A_(1)v_(1)=A_(2)v_(2)`
`:. v_(2)=((A_(1))/(A_(2)))v_(1)=(10/5) (1) =2 m//s`
Applying Bernoulli's theoram at 1 and 2
`P_(2)+1/2 rhov_(2)^(2) =P_(1) +1/2 rhov_(1)^(2)`
`:. P_(2)=P_(1)+1/2 rho(v_(1)^(2)-v_(2)^(2))`
`=(2000+1/2xx10^(3)(1-4))`
`:. P_(2)=500 Pa`
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