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Q.

A horizontal pipe line carries water in a streamline flow. At a point along the pipe, where the cross section area is 10cm2,  the water velocity is 1 m/s and the pressure is 2000 Pa. The pressure of water at another point where the cross sectional area is 5cm2  is [ρω=103 kg/m3]

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a

500 Pa

b

1000 Pa

c

1250Pa

d

1750Pa

answer is A.

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Detailed Solution

A1V1=A2V2   V2=(A1A2)V1=(105)(1)=2m/s  P2+12ρV22=P1+12ρV12 P2=P1+12ρ[V12−V22] =2000+12(103)[1−4] = 500 Pa
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A horizontal pipe line carries water in a streamline flow. At a point along the pipe, where the cross section area is 10cm2,  the water velocity is 1 m/s and the pressure is 2000 Pa. The pressure of water at another point where the cross sectional area is 5cm2  is [ρω=103 kg/m3]