A photon with wavelength A scatters off an electron at rest, at an angle 9 with the incident direction. The Compton wavelength of the electron Ac 2 0.0024 nm. a) For A : 0.0006 nm and El : 53 degrees, find the wavelength X of the scattered photon in nanometres. b) Obtain a formula for the energy of the electron E.2 after collision, in terms of the universal constants h, c and the variables A, N and Achhe answer must be expressed in terms of these variables only.{Please enter an algebraic expression using latex format; do not input any numerical values) 0) Using the energy conservation condition, find the value of the electron energy E1.3 after scattering in units of keV. d) Write an algebraic expression for the electron' s momentum gof3 in terms of its energy E3, its mass me and the speed of light c. e) What is the de Broglie wavelength of the scattered electron ? Express your answer in terms of E6. me, and Ac and c. 1') Find the value of the de Broglie wavelength of the scattered electron in nanometres. 9) We dene the kinetic energy of the electron to be the difference between E8 and its rest mass energy. Find the ratio of the kinetic energy to the rest mass energy of the electron