The dimensional formula of the product of two physical quantities P and Q is `ML^2 T^(-2)`. The dimensional formula of `P//Q` is `ML^0 T^(-2)`. Then what are the units of physical quantities P and Q.

Explanation

Given `PxxQ ` has dimensions `ML^(2)T^(-2)`
P/Q has dimensions `ML^(0)T^(-2)`
Hence (PQ) `((P)/(Q))=(ML^(2)T^(-2))(ML^(0)T^(-2))`
`P^(2)=M^(2)L^(2)T^(-4)" ":. P= ML^(-1)T^(-2) = ` Force ..... (1)
given `(P)/(Q)= M^(1)L^(0)T^(-2),(ML^(1)T^(-2))/(Q)=ML^(0)T^(-2)`
`Q=(ML^(1)T^(-2))/(ML^(0)T^(-2))=L` = Displacement .........(2)