Question

If the angular momentum of an electron is `vec"J"` then the magnitude of the magnetic moment will be ____________.

Options

• `"eJ"/"m"`

• `"eJ"/(2"m")`

• eJ 2m

• `(2"m")/"eJ"`

Answer 1

If the angular momentum of an electron is `vec"J"` then the magnitude of the magnetic moment will be `"eJ"/(2"m")`.

Explanation:

As we know for circulating electron magnetic moment

`"M" = 1/2"evr"`    .....(i)

and angular momentum J = mvr    .... (ii)

`"From equations (i) and (ii) M" = "eJ"/(2"m")`