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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 must the electrons have in order to resolve a protein molecule that is 2.50 nm in diameter? take the mass of an electron to be 9.11× 10–31 kg.

Respuesta :

Using the debroglie wavelength,
[tex] p = mv = \frac{h}{\lambda} [/tex]

where [tex]p[/tex] is the electron momentum, [tex]m[/tex] is the mass, [tex]v[/tex] is the velocity and [tex]h[/tex] is planck's constant. Substituting the wavelength as [tex]2.50nm[/tex], we have [tex]v = 290933 m/s[/tex]. Thus, the kinetic energy, is: [tex] \frac{1}{2}*9.11*10^{-31}* 290933^{2} =3.85*10^{-20}J [/tex]

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