The electron beam in a scanning electron microscope (SEM) can have an energy ranging from 0.2 keV to 40 keV.

(Note: an eV is an electronvolt, the measure of an amount of kinetic energy for a single electron. 1 eV = 1.60218 10 19 J and 1 J = 1 kg m2 s 2).

What is the de Broglie wavelength of the electron beam in the SEM when the electrons are accelerated to kinetic energy of 14.8 keV? (Note: 1 keV is 1000 eV). Enter a wavelength in nanometers accurate to three significant figures.