GC 4889 is the largest galaxy in the Coma Cluster (shown in the image below taken by the Hubble Space Telescope). After analyzing the spectrum of NGC 4889, an astronomer identifies a spectral line as being CaII (singly ionized 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.   a)  What would be this galaxy’s recessional velocity, in km/s? b)  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.

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter24: Electromagnetic Waves
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Problem 20P: A light source recedes from an observer with a speed vS that is small compared with c. (a) Show that...
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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 analyzing the spectrum of NGC 4889, an astronomer identifies a spectral line as being CaII (singly ionized 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.

 

  • a)  What would be this galaxy’s recessional velocity, in km/s?
  • b)  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.
  • c) How would your answer to part b) differ if the Hubble constant had a smaller value? A larger value? Explain.
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