Some of the familiar hydrogen lines appear in the spectrum of quasar 3C9, but they are shifted so far toward the red that their wavelengths are observed to be 3.0 times as long as those observed for hydrogen atoms at rest in the laboratory. (a) Show that the classical Doppler equation gives a relative velocity of recession greater than c for this situation. (b) Assuming that the relative motion of 3C9 and Earth is due entirely to the cosmological expansion of the universe, find the recession speed that is predicted by the relativistic Doppler equation.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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Some of the familiar hydrogen lines appear in the spectrum
of quasar 3C9, but they are shifted so far toward the red that their
wavelengths are observed to be 3.0 times as long as those observed
for hydrogen atoms at rest in the laboratory. (a) Show that the classical
Doppler equation gives a relative velocity of recession greater
than c for this situation. (b) Assuming that the relative motion of
3C9 and Earth is due entirely to the cosmological expansion of the
universe, find the recession speed that is predicted by the relativistic
Doppler equation.

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