Modern Physics for Scientists and Engineers
Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Chapter 4, Problem 4Q
To determine

The emission line that is expected to be most intense.

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Calculate the rms speed of a sodium atom in the solar atmosphere at 6000 K. (The atomic mass of sodium is 23.) The sodium D lines (λ = 5900 ˚ A) areobserved in a solar spectrum. Estimate the Doppler broadening in GHz.
There is no limit to the size ahydrogen atom can attain, provided it is free from disruptive outside influences. In fact, radio astronomers have detected radiationfrom large, so-called “Rydberg atoms” in the diffuse hydrogen gasof interstellar space. (a) Find the smallest value of n such that theBohr radius of a single hydrogen atom is greater than 8.0 microns,the size of a typical single-celled organism. (b) Find the wavelength of radiation this atom emits when its electron drops fromlevel n to level n - 1. (c) If the electron drops one more level, fromn - 1 to n - 2, is the emitted wavelength greater than or lessthan the value found in part (b)? Explain.
Calculate the velocity of a star moving relative to the earth if you observe a wavelength of 91.0 nm for ionized hydrogen capturing an electron directly into the lowest orbital (that is, a ni = ∞ to nf = 1 , or a Lyman series transition).
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