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Tunneling s one of the strange yet important phenomena that arise within quantum

ID: 887073 • Letter: T

Question

Tunneling s one of the strange yet important phenomena that arise within quantum mechanics. A particle can pass through an energy barrier that s higher than the energy the particle actually possesses, for instance. An electron with energy 2.00 eV impinges upon a barrier of height 5.00 eV and length 3.00 nm. Calculate the spatial decay parameter K for the tunneling of the wave function through the barrier in nm^-1. Using the approximate expression for transmission probability in the limit of high and long barrier, calculate the transmission probability through this barrier.

Explanation / Answer

k = 5 / 2*3 = 0.833 nm^-1

Transmission probability = 2 / 15 = 0.133

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