Question

The relation between magnetic moment of revolving electron 'M' and principle quantum number 'n' is ______.

Options

• M `alpha` n

• M `alpha "n"^3`

• M `alpha "n"^2`

• M `alpha 1/"n"`

Answer 1

The relation between magnetic moment of revolving electron 'M' and principle quantum number 'n' is M `alpha` n.

Explanation:

µ = iA = `"e"/2pi"r" xx pi"r"^2 = "evr"/2`

= `"evrm"/(2"m") = "e"/(2"m") ("L")`

Now as per Bohr model

L = `"nh"/(2pi)`

`therefore µ = "e"/(2"m") ("nh"/(2pi))`

`therefore  µ  alpha  "n"`