Question

In Compton scattering a photon collides with an electron that is initially at rest.

(a) Rank the following quantities in order from largest to smallest. If any two quantities are the same, state this. Explain how you made your ranking.

(i) The wavelength of an x-ray photon

(ii) The change in wavelength of an x-ray photon in Compton scattering when it scatters through an angle of 0° (that is, the photon continues in the same direction as its initial motion)

(iii) The change in wavelength of an x-ray photon in Compton scattering when it scatters through an angle of 90° (that is, the photon is scattered in a direction at right angles to its initial motion)

(iv) The change in wavelength of an x-ray photon in Compton scattering when it scatters through an angle of 180° (that is, the photon is scattered in the direction opposite to its initial motion)

Please show your work

Answer 1

(211 1 A la lo -lo Let un consider ao x-ray photon of wave length az The We know, the change of wavelength due to compton scetlering - u (i- en o) moc where Aa= Change of wavelength Isovel – dantial ho Planck's constant = 6-626410-34 mea man of electron = g. 11X10 0-31 kg

31 x 3x108 2.2.2 x 10-12 222 to 12 2:42 X10-12 3x10? mis Peg-2 e= speed of light o = sceltering angle So from ①, h (1- cond) mee G626 x 10 -34 (1-cond) 9-11x no = 2.42 to (1 cond) for o=0, change of wave length 2.42 x 10-12 (1 con 0° [:cono Fron for O= 90o change of wavelengths con go 90) 2.42 x 10 [ congo -0 From Tod, for O= 180°, change of wave length A n 180 = (i - con 180°) [:- (-1)] [: com1 80) -- 1 Argo Argo (2

А? то 2.22 x 10 N (2 A 2120 484 40 S. use con lo - 10 (typied vatie) Ano o a 2.42 410 Adigo = 4.84 x 10-12 If we arrange them from largest te smallest, A » Adigo ) Dago edo Rank 1 ; Box rey ploton (2) Rank 22 Change in wave lenght for OG 0 - 1800 (dugo Rank 32 Change 0 = 90 wavelength for (Ango) wave lengte for (410) Ranik hi Change B=0
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