Question

A stationary electron undergoes a "head-on" collision with and X-ray photon. The electron's acquired kinetic energy is 90 keV. Determine the wavelengths of the incident and scattered photons. Note: If you use your calculator's mumerical problem solver, show the equations utilized, otherwise show your work (algebraically)

Answer 1

Given that kinetic Energy 90 ke v mass of z-ray photon - 0 Planer�s Constant = h = 6.62 times 10^-34 J.s Assuming initial Energy of photon = 100 ke v 1.6 times 10^-14 Joule after collision Energy of e = 90 ke v 0.90 times 10^-111 Joule Energy of photon after collision = 0.70 times 10^-14 Joule E = he/lambda lambda = he/E lambda_incident = 6.62 times 3/1.6 times 10^-34 times 10^8/10^-14 = 6.62 times 3/1.6 times 10^-24 times 10^8 lambda_incident = 12.41 times 10^-12 m \r\n lambda_scattered = 6.62 times 3/0.7 times 10^-12 m 19.86/0.07 times 10^-12 m lambda_scattered = 28.37 times 10^-12 m