Answer
See answers.
Work Step by Step
On page 918, we have an expression that relates the momentum and radius of curvature for a particle that is moving perpendicular to a magnetic field. Here, the charge is āeā.
$$v=\frac{eBr}{m}$$
$$p=mv=eBr$$
$$p=eBr$$
The previous relationship is valid even as we enter the relativistic limit, where p=E/c. This equation uses SI units.
$$\frac{E_{joules}}{c}=eBr$$
$$E_{joules}=eBrc$$
To convert the energy in joules to electron volts, divide the energy by the elementary charge, e.
$$\frac{E}{e}=E_{electron\;volts}=Brc$$
$$E_{electron\;volts}=Brc$$
This was the relationship to be proven.