Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford / 2016 / S19 / 3 / b

The required energy increment is 9.9 TeV. If the usable longitudinal gradient is $\eta E_0$, with $E_0=m_{e}c{\omega }_p/e$, the channel length isUnder the illustrative preceding ${\sigma }_{zf}=20\mu$m and $k_p{\sigma }_{zf}=1$ choices, $E_0\simeq 25.6$ GV m${}^{-1}$ and $L_p\simeq 390/\eta$ m. TODO — a unique numerical length inherits the missing compression/density specification and additionally requires a usable wake amplitude/loading factor $\eta$ or driver information. A driver energy per proton alone does not fix its bunch population or accelerating gradient.