NE 495- Elements of Nuclear Engineering Problem #2 (35 pts): A researcher uses a
ID: 1872775 • Letter: N
Question
NE 495- Elements of Nuclear Engineering Problem #2 (35 pts): A researcher uses a Nb in an experiment to measure the impact of the Compton scattering of a photon with a free electron. Find the following a) Using the data tables in your textbook determine the energy E in MeV of the primary gamma emitted by 95Nb. Note: This represents the energy of the incident photon. b) Assuming the photon is scattered at an angle of 123°, find the wavelength , of the scattered photon in meters. c) Calculate the energy of the recoil electron E in MeVExplanation / Answer
95 Nb 41 contains 41 protons and (95-41 = 54 neutrons)
so mass of its constituents = 41 * mass of proton + 54* mass of neutron
mass of 95 Nb 41 = (41* 1.007825) + (54* 1.00866)
mass of 95 Nb 41 = 95.788 amu
actual mass of 95 Nb 41 = 92.906 amu
mass defect = 95.788 -92.906 = 2.882 amu
energy E = dM * C^2
E = 2.882 * 931.5
E = 2684.53 MeV
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E = 2684.53 * 10^6 * 1.6 *10^-19
E = 4.29 *10^-10 Joules
wavelength = hc/E
L = (6.626*10^-34* 3*10^8)/(4.29*10^-10)
L = 0.0463 pm
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scattered wavelength L = 0.00242 nm (1-cos 135)
L' = 4.13 pm
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change of wavelength = 4.13 pm - 0.0463 pm = 4.59 pm
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energy E = hc/E = 6.628*10^-34* 3*10^8/(4.59 *10^-12)
E = 4.33 *10^-14 J
E = 4.33 *10^-14/(1.6*10^-13)
E = 2.7 MeV
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