If A and B are two physical quantities having different dimensions then which of the following can denote a new physical quantity?

Options

A. `A+(A^(3))/(B)`
B. `exp(-(A)/(B))`
C. `AB^(2)`
D. `(A)/(B^(4))`

Explanation

For (A): A and `(A^(3))/(B)` may have same dimension.
For (B) : As A and B have different dimension so `exp(-(A)/(B))` is meaningless.
For (C): `AB^(2)` is meaningful,
For (D) : `AB^(-4)` is meaningful.