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Question

An incompressible non viscous fluid flows steadily through a cylindrical pipe which has radius 2R at point A and radius R at point B farther along the flow direction. If the velocity of the fluid at point A is V, its velocity at the point B will be :

A
P12δV2
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B
PδV2
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C
P+δV2
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D
P7.5δV2
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Solution

The correct options are
A PδV2
C P12δV2
We know that, from continuity equation,
A1V2=A2V2
(Symbols have usual meanings)
π(2R)2V=πR2VB
(VB= Velocity of the fluid at point B)
π(2R)2V=πR2VB
π4R2V=πR2VB
4V=VB
VB=4V

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