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 `P xx Q` has dimension `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) " "therefore 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)`
`therefore` P and Q are respectively the force and displacement, hence their units are newton and metre.