PHYSICS FOR SCIEN & ENGNR W/MOD MAST
PHYSICS FOR SCIEN & ENGNR W/MOD MAST
4th Edition
ISBN: 9780134112039
Author: GIANCOLI
Publisher: PEARSON
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Chapter 38, Problem 28P

(a)

To determine

The formula for the positions of the maxima in |ψ|2 for the particle in the nth state in an infinite square well.

(b)

To determine

The formula for the positions of the minima in |ψ|2 for the particle in the nth state in an infinite square well.

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(2) In this experiment, why couldn't we observe the series of spectral lines that arise from electrons falling to the ground state, nfinal = 1? This is the Lyman series, for which 22 (see eq. (16)) must be replaced by 12 in both the numerator and denominator of the equation: 2 =- 1 n2 n = R (n2-1)' 2,3,4,5, ..
(ii):Find the ground state L and S of oxygen (Z=8). Also find the matter wave associated with 111 MeV α-particles. Moreover, using L-S coupling find the ground state term for nd8 .
Show that the longest wavelength of the Balmer series and the longest two wavelengths of the Lyman series sat- isfy the Ritz combination principle. For the Lyman series, limit = 91.13 nm.

Chapter 38 Solutions

PHYSICS FOR SCIEN & ENGNR W/MOD MAST

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