To resolve an object in an electron microscope, the wavelength of the electrons must be close to the diameter of the object. What kinetic energy, ?k�k , must the electrons have in order to resolve a protein molecule that is 4.30 nm4.30 nm in diameter? Take the mass of an electron to be 9.11×10−31 kg9.11×10−31 kg .

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A: The kinetic energy of electrons has in order to resolve a protein molecule is calculated as,