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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 , must the electrons have in order to resolve a protein molecule that is 2.80 nm in diameter? Take the mass of an electron to be 9.11×10−31 kg .

Respuesta :

Answer:[tex]=3.54\times 10^{-20} J[/tex]

Explanation:

Wavelength[tex]\left ( \lambda \right )=2.80\times 10^{-9} m[/tex]

De-broglie equation [tex]\lambda =\frac{h}{mv}[/tex]

[tex]2.80\times 10^{-9} =\frac{6.626\times 10^{-34}}{9.11\times 10^{-31}\times v}[/tex]

[tex]v=2.79\times 10^5 m/s[/tex]

Kinetic Energy =[tex]\frac{1}{2}mv^2[/tex]

[tex]=3.54\times 10^{-20} J[/tex]

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