Ratio of Planck’s Constant to Moment of Inertia – Rankers Physics
Topic: Unit And Dimensions
Subtopic: Dimensions

Ratio of Planck’s Constant to Moment of Inertia

The ratio of the dimensions of Planck's constant and that of the moment of inertia is the dimension of:

[2005]

Frequency
Velocity
Angular momentum
Time

Solution:

Planck's constant (h) has dimensions of angular momentum, \([ML^2T^{-1}]\). Moment of inertia (I) has dimensions \([ML^2]\). The ratio \(h/I = [ML^2T^{-1}]/[ML^2] = [T^{-1}]\). \([T^{-1}]\) is the dimension of frequency.

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