Figure 1 shows two absorption spectra with a key spectral line, Line Y, highlighted.
One spectrum is recorded from a laboratory source on Earth.
The other spectrum is recorded from a distant galaxy.
The wavelength of line Y on Earth, λo=4.86×10−7 m\lambda_o = 4.86 \times 10^{-7} \text{ m}λo=4.86×10−7 m
The wavelength of line Y from the distant galaxy, λg=5.05×10−7 m\lambda_g = 5.05 \times 10^{-7} \text{ m}λg=5.05×10−7 m
The redshift (zzz) is given by the equation:
z=(λg−λo)λo z = \frac{(\lambda_g - \lambda_o)}{\lambda_o} z=λo(λg−λo)Show that the redshift for the light from this distant galaxy is about 0.039.