A

In physics, the dimensions of Planck's constant (h) and angular momentum (L) can be derived from their definitions:
1. Planck's constant (h) is defined in quantum mechanics and has the dimensions of action, represented as energy multiplied by time. Therefore, the dimensions of Planck's constant are:
$$[h] = [E][T] = [M][L^2][T^{-2}][T] = [M][L^2][T^{-1}]$$
This matches with the dimension shown in Option A: $$[M][L^2][T^{-1}]$$.
2. Angular momentum (L) is defined as the product of the moment of inertia (mass times distance squared) and the angular velocity (1/time). The dimensions for angular momentum are:
$$[L] = [M][L^2][T^{-1}]$$.
This also matches with the dimension shown in Option A: $$[M][L^2][T^{-1}]$$.
Thus, both Planck's constant and angular momentum have the same dimensions, matching with Option A.