Use the relativistic Doppler formula for light emitted

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SUMMARY

The discussion focuses on applying Hubble's law and the relativistic Doppler formula to estimate the wavelength of the sodium line at 590 nm emitted from galaxies at varying distances. For galaxies 2 x 106, 2 x 108, and 2 x 109 light-years away, participants are instructed to first calculate the recession velocity using Hubble's law and then determine the wavelength shift using the relativistic Doppler formula. This method provides a clear approach to understanding redshift in cosmology.

PREREQUISITES
  • Understanding of Hubble's law and its application in cosmology
  • Familiarity with the relativistic Doppler effect for light
  • Basic knowledge of wavelength and frequency in physics
  • Ability to perform calculations involving scientific notation
NEXT STEPS
  • Research the application of Hubble's law in modern astrophysics
  • Learn the derivation and implications of the relativistic Doppler formula
  • Explore the significance of redshift in determining the universe's expansion
  • Investigate the impact of distance on light wavelength shifts in cosmological contexts
USEFUL FOR

Astronomy students, astrophysicists, and anyone interested in the mechanics of cosmic expansion and light behavior from distant galaxies.

eit32
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6) Using Hubble’s law, estimate the wavelength of the 590 nm sodium line emitted from galaxies (a) 2*10^6 lightyears away from Earth, (b) 2*10^8 lightyears away, and (c) 2*10^9 lightyears away.
** Use the relativistic Doppler formula for light emitted from a receding source)
 
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You should probably post an attempt at solving..

Start by using Hubble's law to find the recession velocity at each distance then use the relativistic doppler formula to find the wavelength shift for each.
 

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