Dimensions of Planck’s constant =ML2T−1 Dimensions of moment of inertia =ML2 Ratio of dimensions of Planck’s constant and moment of inertia is
[h]
[I]
=
ML2T−1
ML2
=T−1 Dimension of frequency =T−1 Dimension of velocity=LT−1 Dimension of angular momentum =ML2T−1 Dimension of time = T Thus, ratio of dimensions of Planck’s constant and that of moment of inertia has the dimensions of frequency