An astronomer who is studying the light from a galaxy has identifiedthe spectrum of hydrogen but finds that the wavelengths are somewhatshifted from those found in the laboratory. In the lab, the Ha line inthe hydrogen spectrum has a wavelength of 656.3 nm. The astronomeris using a transmission diffraction grating having 5758 lines/cm in thefirst order and finds that the first bright fringe for the Ha line occurs at-+23.41 from the central spot. How fast is the galaxy moving? Expressyour answer in m/s and as a percentage of the speed of light. Is the galaxymoving toward us or away from us?

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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An astronomer who is studying the light from a galaxy has identified
the spectrum of hydrogen but finds that the wavelengths are somewhat
shifted from those found in the laboratory. In the lab, the Ha line in
the hydrogen spectrum has a wavelength of 656.3 nm. The astronomer
is using a transmission diffraction grating having 5758 lines/cm in the
first order and finds that the first bright fringe for the Ha line occurs at
-+23.41 from the central spot. How fast is the galaxy moving? Express
your answer in m/s and as a percentage of the speed of light. Is the galaxy
moving toward us or away from us?

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