Consider an electron confined to a box of length L = 436 pm. (a) A transition between energy levels can be induced by absorption of light whose photon energy matches the energy difference between the levels. Find the energy difference between the levels corresponding to n = 4 and n = 5 of this same box, and compute the wavelength of light (in m) that would cause a transition between them. What portion of the electromagnetic spectrum is this light? (b) For another box, suppose that this same transition (n = 4 →→ 5) was observed at a wavelength of 232 nm. How long is this box in pm?
Consider an electron confined to a box of length L = 436 pm. (a) A transition between energy levels can be induced by absorption of light whose photon energy matches the energy difference between the levels. Find the energy difference between the levels corresponding to n = 4 and n = 5 of this same box, and compute the wavelength of light (in m) that would cause a transition between them. What portion of the electromagnetic spectrum is this light? (b) For another box, suppose that this same transition (n = 4 →→ 5) was observed at a wavelength of 232 nm. How long is this box in pm?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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c) How does the classical kinetic energy of the free electron compare in magnitude with the result you obtained in the previous part?
Transcribed Image Text:Consider an electron confined to a box of length L = 436 pm.
(a) A transition between energy levels can be induced by absorption of light whose photon
energy matches the energy difference between the levels. Find the energy difference
between the levels corresponding to n = 4 and n = 5 of this same box, and compute the
wavelength of light (in m) that would cause a transition between them. What portion of
the electromagnetic spectrum is this light?
(b) For another box, suppose that this same transition (n = 4 →5) was observed at a
wavelength of 232 nm. How long is this box in pm?
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