3 Spectroscopy Light can be emitted and absorbed by atoms, but only when the energy of the light, E = hf, matches the energy difference of two allowed states of an atom. For the transition m→n, the energy difference is AE = Em - En. Thus, light will be emitted or absorbed only if hf = En-Em In the Bohr model of hydrogen, the energy of the n-th electron orbit is En -13.6 eV n² (a) Transitions of the form m→ 1 make up the Lyman series of spectral lines. Calculate the wavelengths of the first 3 lines in the Lyman series. In what region of the electromagnetic spectrum do these lines appear? (b) Transitions of the form m → 2 make up the Balmer series of spectral lines. Calculate the wavelengths of the first 3 lines in the Balmer series. In what region of the electromagnetic spectrum do these lines appear? (c) Transitions of the form m → 3 make up the Paschen series of spectral lines. Calculate the wavelengths of the first 3 lines in the Paschen series. In what region of the electromagnetic spectrum do these lines appear?

3 Spectroscopy Light can be emitted and absorbed by atoms, but only when the energy of the light, E = hf, matches the energy difference of two allowed states of an atom. For the transition m→n, the energy difference is AE = Em - En. Thus, light will be emitted or absorbed only if hf = En-Em In the Bohr model of hydrogen, the energy of the n-th electron orbit is En -13.6 eV n² (a) Transitions of the form m→ 1 make up the Lyman series of spectral lines. Calculate the wavelengths of the first 3 lines in the Lyman series. In what region of the electromagnetic spectrum do these lines appear? (b) Transitions of the form m → 2 make up the Balmer series of spectral lines. Calculate the wavelengths of the first 3 lines in the Balmer series. In what region of the electromagnetic spectrum do these lines appear? (c) Transitions of the form m → 3 make up the Paschen series of spectral lines. Calculate the wavelengths of the first 3 lines in the Paschen series. In what region of the electromagnetic spectrum do these lines appear?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

The Bohr model

Students often get confused between Rutherford’s model and Bohr model of an atom. They interpret the postulates of both these models to be the same, which is incorrect. Rutherford’s model differs from Bohr’s model in the following ways:

Question

3 Spectroscopy
Light can be emitted and absorbed by atoms, but only when the energy of the light, E = hf, matches the energy difference
of two allowed states of an atom. For the transition m →n, the energy difference is AE = Em - En. Thus, light will be
emitted or absorbed only if hf = En-Em-
In the Bohr model of hydrogen, the energy of the n-th electron orbit is En
-13.6 eV
n²
(a) Transitions of the form m → 1 make up the Lyman series of spectral lines. Calculate the wavelengths of the first 3
lines in the Lyman series. In what region of the electromagnetic spectrum do these lines appear?
(b) Transitions of the form m → 2 make up the Balmer series of spectral lines. Calculate the wavelengths of the first
3 lines in the Balmer series. In what region of the electromagnetic spectrum do these lines appear?
(c) Transitions of the form m → 3 make up the Paschen series of spectral lines. Calculate the wavelengths of the first
3 lines in the Paschen series. In what region of the electromagnetic spectrum do these lines appear?

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