A beam of 1,000,000 electrons, each with kinetic energy E = 1.0 eV, is incident on a potential barrier with the height V0 = 7.0 eV. (a) How many electrons in the beam will be transmitted through the barrier if the barrier width a = 0.25 nm? (b) Answer the same question if the width is doubled, that is, a = 0.5 nm. (c) Briefly explain the effect of the barrier width in quantum tunneling, based on your results in (a) and (b). You may find the following relation is helpful: ħc = 197.33 eV·nm.
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