Q.

Water flows steadily through a horizontal pipe of variable cross-section. If the pressure of water is P at a point where flow speed is v, the pressure at another point where the flowspeed is 2v, is : (take density of water as ρ)

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a

P-3ρv22

b

P-ρv22

c

P--3ρv24

d

P-ρv2

answer is A.

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Detailed Solution

P1+ρV212=P2+ρV222 P2=P+ρ(V2-4V2)2
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Water flows steadily through a horizontal pipe of variable cross-section. If the pressure of water is P at a point where flow speed is v, the pressure at another point where the flowspeed is 2v, is : (take density of water as ρ)