Suppose that an electron trapped in a one-dimensional infinite well of width 250 pm is excited from its first excited state to its third excited state. (a) What energy must be transferred to the electron for this quantum jump? The electron then de-excites back to its ground state by emitting light. In the various possible ways it can do this, what are the (b) shortest, (c) second shortest, (d) longest, and (e) second longest wavelengths that can be emitted? (f) Show the various possible ways on an energy-level diagram. If light of wavelength 29.4 nm happens to be emitted, what are the (g) longest and (h) shortest wavelength that can be emitted afterwards?
Suppose that an electron trapped in a one-dimensional infinite well of width 250 pm is excited from its first excited state to its third excited state. (a) What energy must be transferred to the electron for this quantum jump? The electron then de-excites back to its ground state by emitting light. In the various possible ways it can do this, what are the (b) shortest, (c) second shortest, (d) longest, and (e) second longest wavelengths that can be emitted? (f) Show the various possible ways on an energy-level diagram. If light of wavelength 29.4 nm happens to be emitted, what are the (g) longest and (h) shortest wavelength that can be emitted afterwards?
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter40: Quantum Mechanics
Section: Chapter Questions
Problem 42AP
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Question
Suppose that an electron trapped in a one-dimensional infinite
well of width 250 pm is excited from its first excited state to its third
excited state. (a) What energy must be transferred to the electron for
this quantum jump? The electron then de-excites back to its ground
state by emitting light. In the various possible ways it can do this,
what are the (b) shortest, (c) second shortest, (d) longest, and (e)
second longest wavelengths that can be emitted? (f) Show the various
possible ways on an energy-level diagram. If light of wavelength
29.4 nm happens to be emitted, what are the (g) longest and (h)
shortest wavelength that can be emitted afterwards?
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