Compton scattering - elastic scattering of photons off free electrons a. what experimental observations regarding compton scattering are inconsistent with the classical model of light as a continuous electromagnetic wave? b. a beam of x-rays with wavelength 2 = 0.300 nm is directed toward a sample in which the x-rays scatter off of electrons that are effectively free. the wavelength of the outgoing electrons is measured as a function of scattering angle, where a scattering angle of o means the direction of the x-rays was unchanged when passing through the sample. when looking at all possible scattering angles, what are the longest and shortest wavelengths that the scattered x-rays can have? c. using only conservation of energy and conservation of momentum (and proper relativistic expressions for the energy and momentum of both electron and photon) calculate the wavelength of the scattered photon, a', as a function of the wavelength of the incident photon, 2, the scattering angle, 0, and universal constants such as m, h, and c. important: you will be graded on the correctness of your method of solution, and not solely on the final answer, which of course you'll find in your textbook.