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Q.

A horizontal pipe line carries water in streamline flow. At a point where the cross-sectional area is 10 cm2 the water velocity is l ms-l and pressure is 2000 pa. The pressure of water at another point where the cross-sectional area is 5 cm2 is

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a

200 Pa

b

400 Pa

c

500 Pa

d

800 Pa

answer is C.

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Detailed Solution

Since cross-sectional area is halved, therefore, velocity is doubled.Now, P1 = 2000 Pa, v1 = 1 ms-1P2 = ?, v2 = 2 ms-1Again P2 + 12×1000×2 = 2000 + 12×1000×1×1or P2 = 2000 + 500(1-4) = 500 Pa

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