2011-03-07, 10:32 AM
For anyone interested I just did momentum balace:
Pgama² = Patom²
Egama²/c² = Erecoil * 2M
For the Erecoil it came from:
E=p²/2M (from the classical kinetic energy formula)
For the Egama it was a bit harder:
p = h/2pi * k (from quantum mechanics, duality wave-particle)
k = 2pi/lambda (definition)
E = hf = hc/lambda (energy of a wave)
Then adding all 3 together:
p=E/c
So basically Erecoil = Egama²/2Mc²
Egama = 100 keV
M = 100 * 938MeV/c² (100 nucleons on this atom)
Pgama² = Patom²
Egama²/c² = Erecoil * 2M
For the Erecoil it came from:
E=p²/2M (from the classical kinetic energy formula)
For the Egama it was a bit harder:
p = h/2pi * k (from quantum mechanics, duality wave-particle)
k = 2pi/lambda (definition)
E = hf = hc/lambda (energy of a wave)
Then adding all 3 together:
p=E/c
So basically Erecoil = Egama²/2Mc²
Egama = 100 keV
M = 100 * 938MeV/c² (100 nucleons on this atom)