Question

An X-ray photon of wavelength 0.5 nm collides with a stationary free electron and scattered at 180° angle. If the Compton wavelength has the value rc=2.4x10-'nm, then: (a) find the wavelength and the Compton Shift of the scattered photon, (6 marks) (b) find the energy of the incident and scattered photon (in joule). (4 marks)

Answer 1

(1- eus ay The Comton shift h a> 'me Where m => Vest mass of electroni h sc Now, Te 2.4 x 103 mm = 2.4 x 10-12 Compton Shift, 47 2.4x101x (1- Cos 180) = 4.8 x 10-12 m 4.8 x loilm = 0.00 48 mm nood more => Compton wave length :. :. 47 = X Photon :. The wavelength of Seattered so+) (0:4 0:5 +0.0048) 0.5048 nm )n nm - Y energy of incident Photon Eche hi 6.62x10-34 x 3x108 0.5X10-9 = 3.97 x 10"] Energy of Seattered Photon E'ah 6.62x10 34 x 3 x10P 0.5048x10-9] E' 3.93 x 10-16