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.
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
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