What is the ratio of the velocity of a 3.53-MeV β ray to that of an...
What is the ratio of the velocity of a 3.53-MeV β ray to that of an α particle with the same kinetic energy? This should confirm that βs travel much faster than αs even when relativity is taken into consideration.
Homework Answers
3.53 = (r - 1) x 0.511
r = 7.90
Vb = 3 x 10^8 x sqrt (1 - (1/7.9)^2) = 2.97 x 10^8 m/s
For alpha,
3.53 = (r - 1) x 4.0026 x 931.5
r = 1.00094
Va = sqrt(1 - (1/r))^2 = 1.30 x 10^7 m/s
Vb/Va = 22.77
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