$10.$ After a $0\mathrm{.}800-$nm x$-$ray photon scatters from a free electron,the electron recoils at $1\mathrm{.}40$ x$106$ m$/$s$.($a$)$ What is theCompton shift in the photons wavelength? $($b$)$ Throughwhat angle is the photon scattered? $($a$)2\mathrm{.}88$ pm $($b$)101\backslash$deg