Electron microscopes make use of the de Broglie wavelength of high-speed electrons to image tiny objects. The magnification of an electron microscope (≈106 times) is much greater than an optical microscope using visible light (≈103 times) because the wavelengths of high-speed electrons are much smaller than the wavelengths of visible light. To produce a high-quality image, the wavelength of the electron must be about 10 times less than the diameter of the particle. What electron velocity is required if a 1 nm particle is to be imaged?

m(e)=9.109383x10^{-31)kg