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 57P
To determine

The velocity when the galaxy is moving directly away from the observer.

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Scientists observe a distant galaxy with a spectrometer. They find that the wavelength of the Lymann alpha Hydrogen line in the stars spectrum has shifted from its laboratory value of 121.6 nm to three times that value, 364.8 nm. According to the doppler effect, how fast is the galaxy receeding from us? (Find v/c of the galaxy relative to us).
Careful measurements of light from a distant galaxy show that the longest observed wavelength in the Lyman series of hydrogen is 137.15 nm. If the galaxy is moving directly away from us, what is its velocity?
The elliptical galaxy NGC 4889 is the largest galaxy in the Coma Cluster (shown in the image below taken by the Hubble Space Telescope). After analysing the spectrum of NGC 4889, an astronomer identifies a spectral line as being CaII (singly ionised Calcium) with a measured wavelength of 401.8 nm. The true, rest wavelength of this spectral line, measured in a lab, is 393.3 nm.  Using a Hubble constant of ?0 = 70 km/s/Mpc, find the distance to this galaxy cluster. Give your answer in megaparsecs and in light-years.
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