EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST
EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST
4th Edition
ISBN: 9780133899634
Author: GIANCOLI
Publisher: PEARSON CO
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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, ..
(i) Obtain the expression for eigenfunctions of a particle trapped in one 1D Infinite potential well of length, L. (ii) Calculate the wavelength of photons emitted when an electron is confined in a 0.1 nm wide infinite potential well that makes a transition from the second excited state to the first excited state.
Determine the mean radius for the 2s electron.

Chapter 38 Solutions

EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST

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