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Q.

A horizontal pipe of non uniform cross section has water flow through it such that the velocity is 2 ms^-1 at a point where the pressure is 40 kPa. The pressure at a point where the velocity of water flow is 3 ms^-1 is: ( in kilopascal)

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a

37.5

b

60

c

27

d

40

answer is C.

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Detailed Solution

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Bernoulli’s Theorem,

$P_{1} - P_{2} = \frac{1}{2} {ρv}_{2}^{2} - \frac{1}{2} {ρv}_{1}^{2} P_{2} = P_{1} + \frac{1}{2} {ρv}_{1}^{2} - \frac{1}{2} {ρv}_{2}^{2} \Rightarrow P_{2} = 40 kPa + \frac{1}{2} \times 1000 \times 2^{2} - \frac{1}{2} \times 1000 \times 3^{2} \Rightarrow P_{2} = 37.5 kPa$

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