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Byju's Answer

Standard XII

Physics

Power, Force and Velocity

A liquid of d...

Question

A liquid of density $ρ$ comes out with a velocity $v$ from a horizontal tube of area of cross-section $A$ . The reaction force exerted by the liquid on the tube is $F$ .

F \propto v

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F \propto v^{2}

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F \propto A

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F \propto ρ

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Solution

The correct options are
B $F \propto A$
C $F \propto v^{2}$
D $F \propto ρ$
Rate of flow of liquid (in meter cube per second) $= A \times v = A v$
rate of mass transferred (in kg/s) $= A v \times ρ = A v ρ$
rate of momentum transferred by the liquid i.e. $F = A v ρ \times v = A ρ v^{2}$
we see that
$F \propto A, F \propto ρ, F \propto v^{2}$
$\Rightarrow$ options B, C and D are correct.

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A liquid of density ρ comes out with a velocity v from a horizontal tube of area of cross-section A. The reaction force exerted by the liquid on the tube is F.

The correct options are B F∝A C F∝v2 D F∝ρRate of flow of liquid (in meter cube per second)=A×v=Avrate of mass transferred (in kg/s)=Av×ρ=Avρrate of momentum transferred by the liquid i.e. F=Avρ×v=Aρv2we see that F∝A,F∝ρ,F∝v2 ⇒ options B, C and D are correct.

A liquid of density $ρ$ comes out with a velocity $v$ from a horizontal tube of area of cross-section $A$ . The reaction force exerted by the liquid on the tube is $F$ .