The ratio of the dimensions of Planck constant and that of moment of inertia has the
dimensions of

Dimensions of Planck's constant $=M L^{2} T^{-1}$ Dimensions of moment of inertia $=M L^{2}$ Ratio of dimensions of Planck's constant and moment of inertia is $\frac{[h]}{[I]}=\frac{M L^{2} T^{-1}}{M L^{2}}=T^{-1}$ Dimension of frequency $=T^{-1}$ Dimension of velocity $=L T^{-1}$ Dimension of angular momentum $=M L^{2} T^{-1}$ Dimension of time $=T$ Thus, ratio of dimensions of Planck's constant and that of moment of inertia has the dimensions of frequency