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  4. The dimensions of Planck constant equals to that of

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Q. The dimensions of Planck constant equals to that of

AIPMTAIPMT 2001Physical World, Units and Measurements

Solution:

Dimensions of Planck constant $h=\frac{\text{Energy}}{\text{Frequency}}$
$=\frac{[ML^2T^{-2}]}{[T^{-1}]}=[ML^2T^{-1}]$
Dimensions of angular momentum $L$
= Moment of inertia $I \times$ Angular velocity $\omega$
$=[ML^2][T^{-1}]=[ML^2T^{-1}]$