Question #168063

What is the ratio of the relativistic mass to the rest mass for an electron and a proton when it is accelerated from rest through a potential difference of 15mv(mega volts)

take mass of electron=0.5mEv and mass of proton=1000mEv


Expert's answer

(γ1)E0=W(\gamma-1)E_0=W

1)


(γe1)0.5=15γe=31(\gamma_e-1)0.5=15\\\gamma_e=31

2)


(γp1)1000=15γp=1.015(\gamma_p-1)1000=15\\\gamma_p=1.015


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