Question

An photon with a wavelength in the X-ray region of 0.69 nm undergoes Compton scattering by colliding with a free electron. 1) Assume the photon just barely grases the electron, so that the deflect angle, θ, can be considered zero.

1)What is the wavelength of the outgoing photon after the collision? λ' =

2)What the energy of the outgoing photon? E_γ =

3)Now assume the photon deflects off at a small angle of 49^o. What is the wavelength of the outgoing photon after the collision in this situation? λ^' =

4)What the energy of the outgoing photon? E_γ =

5)Next assume the photon deflects off at a larger angle of 106^o. What is the wavelength of the outgoing photon after the collision in this situation? λ^' =

6)What the energy of the outgoing photon? E_γ =

7)Finally, lets say the photon hits the electron straight on so that it deflects straight back. What is the wavelength of the outgoing photon after the collision in this final situation?λ^' = 3 here

8)What the energy of the outgoing photon?   E_γ =

10)At this point, you might want to ask yourself how your answer to part (9) compares with collisions you experience in your everyday life. For example, so the size of a ping-pong ball change depending the angle in reflects off the table? What does this tell us about a photon? One last calculation. Now, instead of scattering off of an electron, let's say the photon scatters off a proton with such an angle that is produces the maximum possible change in wavelength for this collision. What is the maximum wavelength of the outgoing photon after the collision with a proton? λ^' =

Answer 1

Comment

The wavelength and the energy of the outgoing photon was found for different cases