You observe the H-alpha line of Hydrogen in a distant galaxy to have a wavelength of 754.4  nm. What is the radial velocity of the galaxy? Hint: The rest wavelength of H-alpha is 656  nm.

Stars and Galaxies (MindTap Course List)
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Chapter7: Atoms And Spectra
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Problem 10P
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    You observe the H-alpha line of Hydrogen in a distant galaxy to have a wavelength of 754.4  nm. What is the radial velocity of the galaxy?

Hint: The rest wavelength of H-alpha is 656  nm.

Expert Solution
Step 1

Given,

Observe Wavelength of H- alpha λobserver=754.4 nm

Rest Wavelength of H-alpha λrest=754.4 nm

 

We know the expression for red shift moving from lower to upper wavelength

z=λλz=λobserver-λrestλrestz=754.4-656656z=0.15

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