Consider a Compton scattering event. A photon of wavelength 1.0 nm hits an atom. An electron is knocked out and a scattered photon has a wavelength of 2.0 nm. (Think of this event as a photon with wavelength 1 nm goes in and an electron and a photon of wavelength 2 nm going out.) Assuming that the electron initially had negligible kinetic and potential energy, what is the kinetic energy of the ejected electron in eV? How can we increase the maximum kinetic energy of the photo-electron? Discussions can be based on a) intensity of light, b) light with lower or higher frequency c) light with a longer or shorter wavelength. Prove your discussion with equations.