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Q.

A horizontal pipe of non-uniform cross-section allows water to flow through it with a velocity1 ms−1 when pressure is 50 kPa at a point. If the velocity of flow has to be 2 ms−1 at some other point, the pressure at that point should be

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a

50 kPa

b

100 kPa

c

48.5 kPa

d

24.25 kPa

answer is C.

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Detailed Solution

According to Bernoulli’s equation for horizontal pipe,P1+12ρv12=P2+12ρv22⇒ P1+12ρv12−v22=P2⇒ P2=50×103+12×103×12−22⇒ P2=50×103−1.5×103=48.5 kPa
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A horizontal pipe of non-uniform cross-section allows water to flow through it with a velocity1 ms−1 when pressure is 50 kPa at a point. If the velocity of flow has to be 2 ms−1 at some other point, the pressure at that point should be