Question

Which of the following expression represents the relation between orbital magnetic moment and orbital angular momentum of an electron?

Options

• `mu_"orb"=-(2"m"_"e")/"e""L"_"orb"`

• `mu_"orb"=-2"m"_"e""L"_"orb"`

• `mu_"orb"=-"e"/(2"m"_"e")"L"_"orb"`

• `mu_"orb"="e"/(2"m"_"e")"L"_"orb"`

Answer 1

`bb(mu_"orb"=-"e"/(2"m"_"e")"L"_"orb")`

Explanation:

The orbital magnetic moment and orbital angular momentum are also in the opposite direction when an electron is rotating in its orbit.

`|mu_"orb"|="eh"/(4pi"m"_"e")`

and `|"L"_"orb"|="h"/(2pi)` (For n = 1)

∴ `mu_"orb"=-"e"/(2"m"_"e")"L"_"orb"`