Obtain an expression for the dipole moment of magnetic dipole arising due to atomic current in terms of the angular momentum of electron in the atom. Also explain the terms gyro-magnetic ratio and Lande g-factor.

In an atom, electrons revolve around the nucleus in specific orbits due to the Coulomb attraction between the positively charged nucleus and the negatively charged electrons. This motion of electrons creates a circulating current, which gives rise to a magnetic dipole moment. The expression for the magnetic dipole moment can be derived as follows.

### Expression for Magnetic Dipole Moment in Terms of Angular Momentum
Consider an electron of charge \( e \) revolving around the nucleus in a circular orbit of radius \( r \) with velocity \( v \). The electron follows a circular path _________ _________ _________ ________ ______ _____ __________ _________ ______.
____ ________ _________ ___ ___ _________ ________ _______ __________ _____ ______ _______.
____ ____ __________ _________ ____ _____ _________ _______.
_____ ______ ________ _________ ________ ______ ____ ___ ________ _____.
_______ ____ ____ _________ _________ ______ _________ _________ ______.
________ __________ _____ _____ ____.
___ __________ ____ _______ __________ ______.
______ ________ _________ ____ _____ ______.
__________ _________ _________ ___ ____ ____ _____ ___.
______ _______ _______ __________ ___.
_____ _____ ______ ____ ______ ______ _____ ______.
___ ______ __________ _______ ____ _________ ______.
______ __________ ________ ___ _____ _________.
______ __________ __________ ____ _______ ________ _______ ______ ________ ___.
______ _______ ___ _________ _____ _____.
__________ ___ _________ ________ _________ ____ ___ ___ _________.
_________ __________ ________ ______ _____ ______ _____ _____.
_____ ________ _______ _________ _____ __________ ______ ________ ___ ____.
________ __________ ________ __________ ___ _________ ______ _________ __________ _____ _________.
__________ ________ ______ _____ _______ _____ ____ ___ ___ _____ ________ ______.
____ ______ _______ ____ _____.
_______ ___ ___ _______ ___ ____ ________ ________.
____ _______ ___ ________ __________ _________ _________ ______ _____ ____ ________ ____.
_________ ____ ______ _______ _____ ________ _______ _______ __________.
_________ _______ ______ _________ ___ _____ _______ ______ __________.
________ __________ __________ ________ ________ ______ ___ _______ _______ ________ _______ ____.
_____ __________ ___ ___ _________ ______ ______ _______ ____.
___ ________ ___ _______ ______ ____ ________.
________ ________ ___ ___ ____ ____.
_____ ______ ____ ________ ____ __________ __________ ______ _______.
_________ _____ __________ ____ ___ ________ _______ _____ _________ __________ _______.
__________ ___ _______ ___ ________ _________ ______ ____.
____ ______ __________ ______ ____ _______ _______ ______ ___.
_______ ___ _____ ____ ________ ____ _______.
_________ ___ ____ ______ ________ ______ _____.
____ __________ ____ ________ ________ _____ ___ _________.
______ ______ _______ _____ ________ ____.
_________ ____ _____ _______ _____ ____ ________ ___ _________ _________.
__________ _____ _____ _________ _____ ____ ___ __________ _________ _____ _________ ____.
__________ __________ ________ ____ ____ _________ _______ _____.
____ _______ ___ __________ ___ ______ _____ ___ _______.
___ ________ ____ _______ ____ _________ _________ _______ _____ __________ ______ ________.
_____ ___ ___ ____ ________ _______ ___ _________ _______ _________ _____ ________.
___ _____ ___ _____ _______ _____ _______ _________ _________ __________ __________.
_________ __________ _______ _____ __________ _____ ___ ______ ________ __________ ________ __________.
________ __________ ___ _____ ________ _______ _________ ___ __________ ___ _________.
___ _____ ____ __________ ________ ___ _____ _________ ___.
___ _________ ______ _________ _________ _________ __________ _______ _____ _____.
__________ __________ ________ ___ ________.
_________ _________ ________ __________ ______ _________ ______ __________ ___.
_______ _____ _____ ____ _________ _________ _________ _________ ____ ________.
_________ __________ ____ _____ _______ ___ _____ ____ _____ __________ ___.
_______ ______ ______ ____ ____.
___ ______ ____ __________ __________ ____.
______ ________ _______ _____ _______ ___ __________ _______ ______ _______.
__________ ________ _________ __________ _____ _____ _____ __________ ________.
____ _________ ____ ______.
Get Full Answer on WhatsApp