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The dimensional formula of product and q...

The dimensional formula of product and quotient of two physical quantities A and B are given by
`[AB]=[ML^(2)T^(-2)],[(A)/(B)]=[MT^(-2)]`. The quantites A and B respectively are

A

force and velocity

B

Force and displacement

C

Momentum and displacement

D

Work and velocity

Text Solution

Verified by Experts

The correct Answer is:
B
`[A]^(2)=[AB].[A/B]=[M^(2)L^(2) T^(-4)] rArr [A]=[MLT^(-2)]equiv` Force
`[B]=([AB])/([A])=[L] rArr[B]=[L] equiv` Displacement
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