1) A photon whose energy is 1.7*10^-14 J is scattered off an electron at an angle of 86 degrees. What is the wavelength of the scattered wave? The speed of light is 2.998*10^8 m/s and Planck's constant is 6.626*10^-34 J*s. Answer in units of m.
2) An X-ray photon collides head-on with an electron and is scattered directly back at 168 degrees to its original direction. What is the shift in the wavelength of the incident X-ray? The speed of light is 2.99792*10^8 m/s and Planck's constant is 6.63*10^-34 J*s. Answer in units of nm.