1. For what kinetic energy is the de Broglie wavelength of an electron equal to its...

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Physics

1. For what kinetic energy is the de Broglie wavelengthof an electron equal to its Compton wavelength? Express your answerin units of mc2 in doing the calculation, and then use mc2 = 0.5MeV.(Answer: 0.2 MeV)

2. A beam of electrons with energy 1.0 eV approaches apotential barrier with U = 2.0 eV, whose width is 0.10 nm (see afigure below). Estimate the fraction of electrons that tunnelthrough the barrier. (Hint: use the relation of probability and thewave function, and the expression for wave function for barrierpenetration)

3. Calculate the Fermi energy of sodium (n= 2.65·10^28m^-3). This metal has a single valence electron per atom.(Answer:3.25 eV.)

Answer & Explanation Solved by verified expert
4.2 Ratings (656 Votes)
1 Compton wavelength has the value 000243 nm 243 x1012 m For a electron of mass m kinetic energy E themomentum    See Answer
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