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The ratio of the dimensions of Planck's constant and that of the moment of inertia is the dimensions of
Explanation
Planck's constant/Moment of inertia = $(2\pi I\omega/n)/I$ [As $nh/2\pi = I\omega$] = $2\pi I(2\pi f)/(nI) = (4\pi^{2}/n \cdot f) = [T^{-1}]$