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Questions  

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

a
Avρ
b
Av2ρ
c
Avρ2
d
A2vρ

detailed solution

Correct option is B

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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