Find the dimensional formula of the ratio of Planck's constant and the moment of inertia.

According to Planck : E=hv or  h=EvSubstituting the dimensions of known physical quantities :[h]=ML2T−2T−1 or [h]=ML2T−1Now, we know that moment of inertia, I -I=∑mr2∴ [I]=ML2∴  ratio, hI=ML2T−1ML2=T−1i.e. it has the dimensions of frequency.