Fundamentals Of Physics - Volume 1 Only
Fundamentals Of Physics - Volume 1 Only
11th Edition
ISBN: 9781119306856
Author: Halliday
Publisher: WILEY
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Chapter 39, Problem 27P
To determine

To find:

a) How many different frequencies of light could the electron emit or absorb if it makes a transition between a pair of the lowest five energy levels?

What multiple of h8mL2 gives the

b) Lowest

c) Second lowest

d) Third lowest

e) Highest

f) Second highest

g) Third highest frequency?

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The light observed that is emitted by a hydrogen atom is explained by a simple model of its structure with one proton in its nucleus and an electron bound to it, but only with internal energies of the atom  satisfying EH=−RH/n2EH=−RH/n2 where RHRH is the Rydberg constant and nn is an integer such as 1, 2, 3 ... and so on.  When a hydrogen atom in an excited state emits light, the photon carries away energy and the atom goes into a lower energy state.  Be careful about units.  The Rydberg constant in eV is  13.605693009 eV   That would be multiplied by the charge on the electron 1.602× 10-19 C to give  2.18× 10-18  J A photon with this energy would have a frequency f such that E=hf.  Its wavelength would be λ = c/f = hc/E.  Sometimes it is handy to measure the Rydberg constant in units of 1/length for this reason.  You may see it given as 109737 cm-1 if you search the web, so be aware that's not joules. The following questions are intended to help you understand the connection between…
An electron (mass m) is contained in a rectangular corral of widths Lx= L and Ly =2L. (a) How many different frequencies of light could the electron emit or absorb if it makes a transition between a pair of the lowest five energy levels? What multiple of h/8mL2 gives the (b) lowest, (c) second lowest, (d) third lowest, (e) highest, (f) second highest, and (g) third highest frequency?

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Fundamentals Of Physics - Volume 1 Only

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