The Big Bang, red-shift and the expanding Universe

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Question 44
Easy

Figure 1 shows two absorption spectra with a key spectral line, Line X, highlighted.

One spectrum is recorded from a laboratory source on Earth.

The other spectrum is recorded from a distant galaxy.

Two absorption spectra comparison

The wavelength of Line X on Earth, λo=6.56×10−7 m\lambda_o = 6.56 \times 10^{-7} \text{ m}λo​=6.56×10−7 m

The wavelength of Line X from the distant galaxy, λg=6.87×10−7 m\lambda_g = 6.87 \times 10^{-7} \text{ m}λg​=6.87×10−7 m

The redshift (zzz) is given by the equation:

z=λg−λoλo z = \frac{\lambda_g - \lambda_o}{\lambda_o} z=λo​λg​−λo​​

Show that the redshift for the light from this distant galaxy is approximately 0.047.

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The Big Bang, red-shift and the expanding Universe Questions

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