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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

4000 Pa

B

2000 Pa

C

1000 Pa

D

500 Pa

Text Solution

Verified by Experts

The correct Answer is:
B
According to equaton of continuity
`A_(1)v_(1)=A_(2)v_(2)`
`10xx1=5xxv_(2) implies v_(2)= 2 ms^(-1)`
Now applying Bernoulli's equation we get,
`therefore (p_(1))/(rho)+(v_(1)^(2))/(2)=(p_(2))/(rho)+(v_(2)^(2))/(2)`
`implies (2000)/(1000)+(1^(2))/(2)=(p_(2))/(1000)+(2^(2))/(2) implies p_(2)=500 Pa`
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