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Question

(A) The gyromagnetic ratio is defined as the ratio of the magnetic dipole moment $\mu$ to the angular momentum $L$ of an electron.For an electron orbi

Vedclass · Accepted Answer

$1/2$

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(A) The gyromagnetic ratio is defined as the ratio of the magnetic dipole moment $\mu$ to the angular momentum $L$ of an electron.For an electron orbiting a nucleus,$\mu = \frac{e}{2m} L$.Therefore,the gyromagnetic ratio $\gamma = \frac{\mu}{L} = \frac{e}{2m}$.The specific charge of an electron is defined as $\frac{e}{m}$.Comparing the two expressions,we get $\gamma = \frac{1}{2} 	imes (\frac{e}{m})$.Thus,the gyromagnetic ratio is $1/2$ times the specific charge of an electron.

The gyromagnetic ratio of an electron is equal to . . . . . . times the specific charge of an electron.

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