Define Bohr magneton using Bohr's first hypothesis.

Explanation

1. It is defined as the magnetic moment associated with an electron due to its orbital motion in the first orbit of hydrogen atom.
2. Bohr hypothesised that the angular momentum assumes a discrete set of values namely
`l=n(h/(2pi))` where n is a natural number.
n = 1, 2, 3, ... and h is a constant which is known as Planck constant.
`h=6.625xx10^(-34)Js`
3. We know that,
`(mu_(l))_(min)=e/(2m_(e))(l)`
= `e/(2m_(e))((nh)/(2pi))`
4. Taking n = 1
`(mu_(l))_(min)=(e/(2m_(e)))h/(2pi)`
= `((1.6xx10^(-19))(6.63xx10^(-34)))/(4xx3.14xx9.11xx10^(-31))`
`(mu_(l))_(min)=9.27xx10^(-24)Am^(2)`
5. Where .min. is minimum value. Minimum value of `(mu_(l))` is known as Bohr magneton.