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Question

Force applied by water stream depends on density of water (ρ) velocity of the stream (v) and cross sectional area of the stream (A). The expression of the force should be :

A
ρ Av
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B
ρA v2
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C
ρ2Av
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D
ρ42v
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Solution

The correct option is B ρA v2
Force is rate of change in momentum:

F=dPdt(P is momentum)

F=dmdtv

=d(ρAl)dtv(m=ρAl)=dldtρAv(dldt=v)=ρAv2

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