Q:11.33 An electron microscope uses electrons accelerated by a voltage of . Determine the de Broglie wavelength associated with the electrons. If other factors (such as numerical aperture, etc.) are taken to be roughly the same, how does the resolving power of an electron microscope compare with that of an optical microscope which uses yellow light?
The potential difference through which electrons are accelerated(V)=50kV.
Kinetic energy(K) of the electrons would be eV where e is the electronic charge
The De Broglie wavelength associated with the electrons is
The wavelength of yellow light = 5.910-7 m
The calculated De Broglie wavelength of the electron microscope is about 105 more than that of yellow light and since resolving power is inversely proportional to the wavelength the resolving power of electron microscope is roughly 105 times than that of an optical microscope.