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 quantities A and B respectively are

Options

A. Force and velocity
B. Force and displacement
C. Momentum and displacement
D. Work and velocity

Explanation

`[A]^(2)=[AB].[(A)/(B)]=[M^(2)L^(2)T^(-4)]`
`rArr[A]=[MLT^(2)]="Force"`
`[B]=([AB])/([A])=[L]rArr[B]=[L]="Displacement"`