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The Momentum of a Photon and the Compton Effect

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An incident X-ray photon of wavelength 0.2800 nm is scattered from an electron that is initially at rest. The photon is scattered at an angle of theta = 180.0° (in picture) and has a wavelength of 0.2839 nm. Use the conservation of linear momentum to find the momentum gained by the electron.
(answer in kg*m/s)

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** Please see the attached file for the properly formatted solution response **

(please see the attached file)i = 0.28 nm = 0.28 * 10^-9 m
lf = 0.2839 nm = 0.2839 * 10^-9 m
q = 180 ...

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