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The dimensionla formula for the product ...

The dimensionla formula for the product of two physical quantities `P` and `Q` is `[ML^(2) T^(-2)]`. The dimensional formula of `(P)/(Q)` is `[MT^(-2)]`. Then `P` and `Q` respectively are

A

Force and velocity

B

Momentum and displacement

C

Force and displacement

D

work and velocity

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The correct Answer is:
C

`PQ = ML^2 T^(-2) ….(1) , P/Q = MT^(-2) ….(2)`
`(1)xx(2) = p^2 = M^2 L^2 T^(-4)`
`implies P = MLT^(-2) = ` FORCE
`(1)//(2) = Q^2 = L^2`
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