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Question

A horizontal pipe line carries water in a streamline flow. At a point along the pipe where cross sectional area is 10cm2, the water velocity is 1ms1 and the pressure is 2000Pa. The pressure of water at another point where the cross sectional area is 5cm2 is

A
1000Pa
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B
500Pa
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C
3500Pa
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D
1025Pa
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Solution

The correct option is B 500Pa
As, the pipe is horizontal and applying Poiseuille's equation and Continuty eqution P1+12PV2=12PV21+P2 and A1V1=A2V210×1=5×xx=2
2000+12(1000)12=1210(2)2+P2
2500=500×4+P2
P2=500Pa

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