Question

Measurements of the photon energy (E) from a Compton scattering experiment show two peaks: one at higher energies for the source gamma rays (GR), and another at lower energies for the scattered photons (SP). Each peak is expected to obey a Gaussian distribution; e.g. for the scattered photons: SP = A_SP exp(-((E-E_SP)/W_SP)²), where A_SP is the amplitude, E_SP the peak energy, and W_SP the peak width; with a similar equation and set of parameters for the GR. The table (below) shows the number of photons as a function of photon energy (in keV) from a Compton scattering measurement. Fit these data to the sum of two Gaussians to give numerical answers to the following set of six questions.

E(keV)	Counts
400	101
410	174
420	271
430	393
440	430
450	825
460	952
470	1035
480	1462
490	1676
500	1997
510	2687
520	3049
530	3327
540	4034
550	4265
560	4525
570	4864
580	4793
590	4793
600	4928
610	4490
620	4345
630	4373
640	4729
650	4593
660	5136
670	5462
680	4972
690	4387
700	3491
710	2120
720	1423
730	930
740	477
750	430
760	331
770	189
780	141
790	103
800	94

1. The amplitude of the lower-energy (scattered) photons is A_SP =____ counts.

2. The energy of the scattered photons is E_SP =____ keV.

3.The uncertainty in the energy of the scattered photons is S_SP =____ keV.

4. The width of the scattered-photon peak is W_SP = _____ keV.

5. The amplitude of the higher-energy (gamma rays) is A_GR =____ counts.

6. The energy of the source gamma rays is E_GR =____ keV.

7. The uncertainty in the energy of the source gamma rays is S_GR =____ keV.

8. The width of the source gamma ray peak is W_GR = _____ keV.

Answer 1