Dimensions of Gyromagnetic ratio are

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(B) The gyromagnetic ratio $(\gamma)$ is defined as the ratio of the magnetic dipole moment $(M)$ to the angular momentum $(L)$ of a system.$\gamma =

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$[L^0 M^{-1} T^1 I^1]$

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(B) The gyromagnetic ratio $(\gamma)$ is defined as the ratio of the magnetic dipole moment $(M)$ to the angular momentum $(L)$ of a system.$\gamma = \frac{M}{L}$Since the magnetic moment $M = I \cdot A$ (where $I$ is current and $A$ is area),its dimensions are $[I^1 L^2]$.Since angular momentum $L = mvr$,its dimensions are $[M^1 L^2 T^{-1}]$.Therefore,the dimensions of the gyromagnetic ratio are:$	ext{Dimension} = \frac{[I^1 L^2]}{[M^1 L^2 T^{-1}]} = [M^{-1} L^0 T^1 I^1]$.

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