An alpha particle has 3.81 MeV of energy. If an elastic collision with an electron occurs,...
An alpha particle has 3.81 MeV of energy. If an elastic collision with an electron occurs, how much energy will the alpha particle lose?
Give the answer in MeV and to 4 decimal places.
Homework Answers
KE = 3.81 Mev =6.104 x 10^ -13 J
mass of alpha particle: 6.64424 x 10-27 kg
1/2 mv^ 2= 6.104 x 10^ -13 J
0.5 ( 6.64424. 10-27 ) v^2 = 6.104 x 10^ -13 J
initial velocity = 1.355 x 10^7 m/s
mass of electron = 9.109 x 10^-31 kg
mass of alpha/ mass of electron= (6.64424 x 10-27 kg) / ( 9.109 x 10^-31 kg ) = 7290
v ( velocity of alpha after collision) = ( 6.64424 x 10-27 - 9.109 x 10^-31 kg )1.355 x 10^7 / ( 6.64424 x 10-27 + 9.109 x 10^-31 kg)
v = (6.6433x 10^-27 ) / (6.6451 x 10^-27) ( 1.355 x 10^7) = 1.3456 x 10^7 m/s
Energy of rebound alpha particle = 0.5 (6.64424 x 10-27 kg) ( 1.3456 x 10^7)^2 = 6.01516 x 10^ -13 J = 3.75436773 Mev
lost = 3.81 - 3.75436773 =0.05563 MeV apprx
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