Solution

Energy of a photon, $$E = h\upsilon$$ where h is the Planck's constant and $$\upsilon$$ is the frequency. $$\displaystyle \therefore [h] = \frac {[E]}{[v]} = \frac {[ML^2T^{-2}]}{[T^{-1}]}= [ML^2T^{-1}]$$ Angular momentum = Moment of inertia x Angular velocity (Angular momentum) = $$\displaystyle [ML^2][T^{-1}] = [ML^2T^{-1}]$$