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Q.

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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a

Avρ

b

Avρ2

c

Av2ρ

d

A2vρ

answer is B.

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Detailed Solution

F=kAxvyρz⇒MLT−2=L2xLT−1yML−3z⇒z=1,2x+y−3z=1,−y=−2⇒y=2⇒ x=1    F=kA1v2ρ1=Av2ρ,k=1

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