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A horizontal pipe line carries water in a stream line form. At a point along the pipe where the cross-sectional area is 10 cm2, the water velocity is1 m/s and the pressure is 2000Pa. The pressure of water at another point where the cross-sectional area is 5 cm2, is

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a

500Pa

b

50 Pa

c

5Pa

d

5x103Pa

answer is A.

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Detailed Solution

According to equation of continuity A1V1=A2V2 or 10cm2×1m/s=5cm2×v2 ∴ v2=2m/s From Bernoulli's theorem P+12ρv2= constant  ∴ P2+12ρv22=P1+12ρv12 or P2+12×103×(2)2=2000+12×103×(1)2 Solving, we get P2=500 Pa
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A horizontal pipe line carries water in a stream line form. At a point along the pipe where the cross-sectional area is 10 cm2, the water velocity is1 m/s and the pressure is 2000Pa. The pressure of water at another point where the cross-sectional area is 5 cm2, is