College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 28, Problem 7CQ

(a)

To determine

The lowest available energy of electron in hydrogen atom.

(b)

To determine

The highest available energy of electron in hydrogen atom.

(c)

To determine

The value of principle number which corresponds to the lowest energy.

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What are the (a) lowest and (b) highest energies in eV available to the electron in a hydrogen atom? (c) What principle quantum number n corresponds to the lowest energy?
(a) The Lyman series in hydrogen is the transition from energy levels n = 2, 3, 4, ... to the ground state n = 1. The energy levels are given by 13.60 eV En n- (i) What is the second longest wavelength in nm of the Lyman series? (ii) What is the series limit of the Lyman series? [1 eV = 1.602 x 1019 J, h = 6.626 × 10-34 J.s, c = 3 × 10° m.s] %3D Two emission lines have wavelengts A and + A2, respectively, where AA <<2. Show that the angular separation A0 in a grating spectrometer is given aproximately by (b) A0 = V(d/m)-2 where d is the grating constant and m is the order at which the lines are observed.
The electron in a hydrogen atom with anenergy of -0.544 eV is in a subshell with 18 states. (a) What is theprincipal quantum number, n, for this atom? (b) What is the maximum possible orbital angular momentum this atom can have?(c) Is the number of states in the subshell with the next lowestvalue of / equal to 16, 14, or 12? Explain.
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