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Question: Monochromatic x-rays of wavelength λ = 0.243nm are produced in the following way: Electrons bombard a metal target in a standard x-ray tube, and the resulting radiation is reflected from a crystalline material, as shown in Fig.

a. What is the purpose of the crystal?

b. What is the minimum accelerating voltage Vacc that could have produced x-rays of this λ?

c. The reflected x-rays go on to collide with a carbon block C, where their wavelength is shifted to λ' by the Compton effect. For the direction shown in the drawing, calculate the change in wavelength.

d. Does the x-ray gain or lose energy in this process? Where does the energy go? What is the most striking assumption made by Compton in his analysis of this phenomenon?

2449_14.14.png

Fig. - Compton scattering arrangement

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