You intend to use an electron microscope to study the structure of some crystals. For accurate resolution, you want the electron wavelength to be 1.00 nm. 

(a) Are these electrons relativistic? How do you know? 

(b) What accelerating potential is needed?

(c) What is the kinetic energy of the electrons you are using? To see if it is great enough to damage the crystals you are studying, compare it to the potential energy of a typical NaC1 molecule, which is about 6.0eV. 

(d) If you decided to use electromagnetic waves as you probe, what energy should their photons have to provide the same resolution as the electrons? Would this energy damage the crystal?