At what speed (in terms of c) must an electron move to have the same relativistic...

Question

Question

At what speed (in terms of c) must an electron move to have the same relativistic momentum as a proton moving at 0.500c

Answer 1

Answer #1

For a particle of rest mass m0 moving with velocity v, relativistic momentum is given by

mou PJ1 - ps

c is the velocity of light

Rest mass of electron is 0.511 MeV and that of proton is 938 MeV

For both of their momentum to be similar we must have

0.511 xv 938 x 0.50 V1 - 0.52

0.511v or, = 541.550

20.511100 or, V1-2-541.55()

Squaring both sides,

Or, 1 = 8.9 x 10-7()

1= (4.) (-01*6+1) 6.0

or, 2 = 0.999999555

or, v = 0.9999999555c

Answer 2

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