Chapter 44 - Particle Physics and Cosmology - Problems - Exercises - Page 1520: 44.13

a). v=0.999999559c, b). Non-relativistic $\omega=3.83\times10^{8} \,rad/s$ Relativistic $\omega=3.59\times10^{5} \,rad/s$

a). $Lambda=\frac{E}{mc^{2}}=\frac{1000\times10^{3}MeV}{938.3 MeV}=1065.8MeV, so, v=0.999999559c$ b). Non-relativistic $\omega=\frac{eB}{m}=3.83\times10^{8} \,rad/s$ Relativistic $\omega=\frac{eB}{m}\times\frac{1}{Lambda}=3.59\times10^{5} \,rad/s$