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The gyromagnetic ratio of an electron of...

The gyromagnetic ratio of an electron of charge e and mass ni is equal to

A

`(e^(2))/(2m)`

B

`(e)/(2m^(2))`

C

`(e)/(4m)`

D

`(e)/(2m)`

Text Solution

Verified by Experts

The correct Answer is:
D

An elcetron of mass m moving around the central nucleus has a magnetic moment `mu_l` given by
`mu_l = (e)/(2m)l`
where l is the manitude of the angular momentum of the circulating electron about the central nucleus.
The ratio `(mu_l)/(l) = (e)/(2m)` is known as gyromagnetic ratio. It is a constant and its value is `8.8 xx 10^(10)` C/kg.
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