What is Bohr magnetom and how can you say ghai it is quantized
Answers
Bohr Magneton
Magnetic moment of an electron is caused by its orbital or spin orbital momentum. The physical constant which represent this magnetic moment which is caused by either its orbital or spin angular momentum is called Bohr magneton. It is represented by the symbol m B .
In SI units it is defined by the equation

In CGS unit it is defined by the equation

Here e represents the elementary charge, represents reduced Planck's constant, me is the reduced mass of electron, and c represents speed of light.
The magnetic moment of electron is approximately equal to one Bohr magneton and the value of one Bohr magneton is equal to 9.274 × 10–24J/T.
In order to derive the equation for Bohr magneton we consider an electron which moves around a circular having radius r with a velocity v.The time period for this orbit is given by the equation

Due to the motion of electron in circular orbit a current is developed given by

Here the magnetic moment is given by the equation
m =IA
Here, A is area of the circular loop.

Divide and multiply by the mass of electron

Here, mevr represents the angular momentum L

For electron moving around circular orbit the angular momentum will be quantized given by the equation

Substituting value of L in (1) gives us the formula

The quantity is called Bohr magneton ( m B )

Thus, value of Bohr magneton is equal to 9.274 × 10–24J/T.