If area (A), velocity (v) and density (p) are taken as fundamental units, what is the dimensional formula for force?

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Av2p

A2VP

AVP2

AVP

answer is A.

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Detailed Solution

Let ,F=Axvyρz, then MLT−2=L2xLT−1yML−3z=MzL2x+y−3zT−yThis gives z=1,2x+y−3z=1 and y=2Solving we get X=1 ,Y= 2,and Z =1∴ F=AV2P

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