Chapter 14.1, Problem 1P

Interpretation Introduction

Interpretation:

The frequency required to cause a proton to flip its spin when it is exposed to a magnetic field $1\text{ T}$ has to be calculated.

Concept introduction:

The energy difference between the states is dependent upon the frequency.  The expression is,

$\text{ΔE= hv}$

Here, $v$ is the frequency and $h$ is the Planck’s constant.

This frequency is dependent on the strength of the magnetic field and the gyromagnetic ratio. The expression is,

$v=\frac{\gamma }{2\pi }{B}_{\circ }$

Here, $\gamma$ is the gyromagnetic ratio and $B_{\circ }$ is the magnetic field strength.  The gyromagnetic ratio is dependent upon the type of nucleus and is a constant value.