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A horizontal pipelline carries water ...

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

A

4000 Pa

B

2000 Pa

C

1000 Pa

D

500 Pa

Text Solution

Verified by Experts

The correct Answer is:
D
From continuity equation
`A_1 V_1=A_2 V_2`
`implies 10xx1=5xxV_2 implies V_2=2 m//s`
According to bernoulli.s Principle-
`P_1+1/2 rho V_1^2=P_2+1/2 rho V_2^2`
`implies P_2=P_1+1/2 rho(V_1^2-V_2^2)`
`=2000+1/2 xx 10^3(1^2-2^2)`
=2000-1500=500 Pa.
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