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

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

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

3)Now assume the photon deflects off at a small angle of49^o. What is the wavelength of the outgoing photon afterthe 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 of106^o. What is the wavelength of the outgoing photonafter 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 sothat it deflects straight back. What is the wavelength of theoutgoing photon after the collision in this finalsituation?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 answerto part (9) compares with collisions you experience in youreveryday life. For example, so the size of a ping-pong ball changedepending the angle in reflects off the table? What does this tellus about a photon? One last calculation. Now, instead of scatteringoff of an electron, let's say the photon scatters off a proton withsuch an angle that is produces the maximum possible change inwavelength for this collision. What is the maximum wavelength ofthe outgoing photon after the collision with a proton?λ^' =