Question

What is the momentum (in MeV/c) and kinetic energy of a proton with a total energy of 1.00 GeV? Repeat for an electron with the same energy.

Answer 1

What is the momentum (in MeV/c) and kinetic energy of a proton with a total energy of 1.00 GeV?

Solution :-

the energy of aproton E =√[p²c² +(mc²)²]

For proton mc² =(1.67*10^-27kg)(3*10⁸m/s)²

                        = 15.03*10^-11J

                         =(15.03*10^-11J)/(1.6*10^-10GeV/J)

                         =  0.94GeV

Then pc = √[(1GeV)² -(0.94GeV)²]

            = 0.3412GeV

or momentum of proton p = 0.3412GeV/c

Kinetic energy K = E - mc²

                          = 1GeV - 0.94GeV

                          = 0.06GeV

Do it for electron by putting m = 9.1*10^-31kg