$1.($Bragg$$s Law$)0\mathrm{.}200$ x$-$rays strike a crystal with a spacing of $0\mathrm{.}400$ between atoms. A film that reacts to x$-$rays is placed nearby. At what angles $($measured off of the crystal surface$)$ will x$-$rays reflecting off of the crystal produce a bright spot on nearby film? $2.($Compton Scattering$)$ A photon whose energy is $8\mathrm{.}001015$ J is scattered off an electron at a $90$ angle. What is the wavelength of the scattered wave? $3.($Compton Scattering$)$ A photon whose wavelength is $=5\mathrm{.}01011$ m is scattered straight backward. What is the wavelength of the scattered wave?