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Q.

If area (A) velocity (v) and densityρare base units, then the dimensional formula of force can be represented as.

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a

Avρ

b

Av2ρ

c

Avρ2

d

A2vρ

answer is B.

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Detailed Solution

F = kAxvyρz⇒ MLT−2 = [L2]xLT−1yML−3z⇒z = 1, 2x+y-3z = 1, -y = -2 ⇒ y = 2⇒x = 1     F = kA1v2ρ1 = Av2ρ, k =1
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If area (A) velocity (v) and densityρare base units, then the dimensional formula of force can be represented as.