An electron having total energy E 5 4.50 eV approaches a

Chapter 41, Problem 32

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An electron having total energy E 5 4.50 eV approaches a rectangular energy barrier with U 5 5.00 eV and L 5 950 pm as shown in Figure P41.31. Classically, the electron cannot pass through the barrier because E , U. Quantum-mechanically, however, the probability of tunneling is not zero. (a) Calculate this probability, which is the transmission coefficient. (b) To what value would the width L of the potential barrier have to be increased for the chance of an incident 4.50-eV electron tunneling through the barrier to be one in one million?

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