Find the speed parameter ? and Lorentz factor ? for an electron that has a kinet

Question

Find the speed parameter ? and Lorentz factor ? for an electron that has a kinetic energy of 4.00 keV. ??

??
1.01  

Find the speed parameter ? and Lorentz factor ? for an electron that has a kinetic energy of 3.00 MeV. ??
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Find the speed parameter ? and Lorentz factor ? for an electron that has a kinetic energy of 4.00 keV. ?? Find the speed parameter ? and Lorentz factor ? for an electron that has a kinetic energy of 3.00 MeV. ?? 9.89Times10-1 Find the speed parameter ? and Lorentz factor ? for an electron that has a kinetic energy of 6.00 GeV. ??

Explanation / Answer

KE=(?-1)mc^2, mc^2=.511MeV of an electron.

a) 4kev=(?-1).511MeV

(?-1)=5/511

(?-1)=0.00782

?=1.00782

Now that you have ?, its easy to get ?, or the ratio of v/c from ?=root(1/(1-?^2))

1.00782=root(1/(1-?^2))

(1-?^2)=0.9845

?^2=1-0.9845

?=0.124


b) 3Mev=(?-1).511MeV

(?-1)=5.8708

?=6.8708



6.8708=root(1/(1-?^2))

(1-?^2)=0.0211

?=0.989


c)6Gev=(?-1).511MeV

(?-1)=11.7416*10^3

?=11742.68=11.742*10^3




11.742*10^3=root(1/(1-?^2))

(1-?^2)=7.252*10^-9

?=0.9999=1

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