Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 41, Problem 3P

(a)

To determine

The wavelength radiated for the transition from m state to n state.

(b)

To determine

To find the wavelengths for the five transitions.

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An isolated atom of a certain element emits light of wavelength λm1 when the atom falls from its state with quantum number m into its ground state of quantum number 1. The atom emits a photon of wavelength λn1 when the atom falls from its state with quantum number n into its ground state. (a) Find the wavelength of the light radiated when the atom makes a transition from the m state to the n state. (b) Show that kmn = |km1 - kn1|, where kij = 2π/λij is the wave number of the photon. This problem exemplifies the Ritz combination principle, an empirical rule formulated in 1908.
a)Suppose a hydrogen molecule in its ground state is dissociated by absorbing a photon of ultraviolet light, causing the two hydrogen atoms to fly apart. What photon energy will give each atom a speed of 19 km/s? The mass of a hydrogen atom is 1.7×10^−27 kg Express your answer to two significant figures and include the appropriate units.
Chemists use infrared absorption spectra to identify chemicals in a sample. In one sample, a chemist finds that light of wavelength 5.8 um is absorbed when a molecule makes a transition from its ground harmonic oscillator level to its first excited level. (a) Find the energy of this transition. (b) If the molecule can be treated as a harmonic oscillator with mass 5.6 * 10-26 kg, find the force constant.
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