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Q. The dimensions of angular momentum/ magnetic moment are

Jharkhand CECEJharkhand CECE 2013

Solution:

Angular momentum
$ =l\omega =[{{M}^{1}}{{L}^{2}}{{T}^{-1}}] $
Magnetic moment = Current $ \times $ Area $ [A{{L}^{2}}] $
$ \therefore $ $ =\frac{\text{Angular}\,\text{momentum}}{\text{Magnetic}\,\text{moment}} $
$ =\frac{[{{M}^{1}}{{L}^{2}}{{T}^{-1}}]}{[A{{L}^{2}}]} $
$ =[M{{A}^{-1}}{{T}^{-1}}] $