Consider a relation connecting three physical quantities A, B and C given by $$A = B^n C^m$$. The dimensions of A, B and C are $$[LT]$$, $$[L^2T^{-1}]$$ and $$[LT^2]$$ respectively. Therefore, the exponents n and m have values

A

$$\frac{2}{3}$$ and $$\frac{1}{3}$$

B

2 and 3

C

$$\frac{4}{5}$$ and $$-\frac{1}{5}$$

D

$$\frac{1}{5}$$ and $$\frac{3}{5}$$