what is gyromagnetic ratio physics
Answers
The concept of spin (I or S) was introduced in a prior Q&A to denote the intrinsic angular momentum of atomic and subatomic particles like electrons, protons, and whole nuclei. In an earlier Q&A on basic magnetism, we also defined the concept of a magnetic moment (μ), a vector-like quantity useful to describe how a small magnetic dipole (or current loop) interacts with an external magnetic field. There is no doubt that spin and magnetism of particles are closely related, but exactly how?
The answer lies in a fundamental symmetry theorem from quantum mechanics. Specifically, spin and a particular form of the magnetic moment are collinear and directly proportional to one another connected by a constant (γ) called the gyromagnetic ratio:
μ = γ I (for nucleus)
μ = γ S (for electron)
The value of the gyromagnetic ratio (γ) varies by atomic species. The units of γ are typically given in the form of [frequency] ÷ [magnetic field strength], such as (radians/sec)/gauss or MHz/tesla. The reason for these units will become apparent in subsequent Q&As where the famous Larmor equation relating resonance frequency to field strength will be discussed.
here is your answer
it is a ratio of magnetic dipole movement to its angular momentum
aits symbol as Gamma which is a Greek letter