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

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Avρ

Av2ρ

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A2vρ

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detailed solution

Correct option is B

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.

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Ready to Test Your Skills?

free study material

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