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Required information

A scanning electron microscope is used to look at cell structure with $10\mathrm{.}0$ nm resolution. A beam of electrons from a hot filament is accelerated with a voltage of $12\mathrm{.}9$ kV and then focused to a small spot on the specimen.

$1.$ What is the wavelength in nanometers of the beam of incoming electrons? Answer in nm

$2.$ If the size of the focal spot were determined only by diffraction and if the diameter of the electron lens is one fifth the disnace from the lens to the specimen, what would be the minimum separatoon resolvable on the specimen? $($In practice, the resolution is limited much more by aberrations in the magnetic lenses and other factors.$)$ answer in nm