Question

A photon undergoes Compton scattering on a stationary electron. Before scattering, the photon's frequency is ν0, whereas after scattering said frequency is ν. After scattering, the photon's direction of movement is opposite to its original direction (scattering of 180 degrees), and the electron moves at a relativistic speed defined as 'v'.

a) the photon's wavelength before scattering was λ₀=1 Angstrom. Calculate frequencies ν₀ and v.

b) In this paragraph, ignore the numerical data given in paragraph a) and answer using the variables given in the main question and the physical constants 'me' and 'h' exclusively.

i) what will be the electron's direction of movement after scattering? Give a physical argumentation. Draw the problem, including the direction of movement before and after scattering.

ii) write out a relativistic formula for the conservation of Energy upon scattering.

iii) write out a formula for the conservation of Momentum upon scattering (using the same variables).

c) for the frequencies given in paragraph a), calculate the velocity of the electron, using the formula that you wrote out in paragraph b ii).

d) show that the values that you found in paragraph a) together with the velocity that you found in paragraph c) constitute a solution of the formula that you wrote out in paragraph b) iii).

THANK YOU!

Answer 1