A spectral line has a laboratory wavelength of 400.0 nm. In the light from a galaxy it is observed at 402.0 nm. What is the speed of the galaxy relative to Earth, and which way is it moving? (c = 3.0 × 108 m s−1)
- Δλ = 402.0 − 400.0 = 2.0 nm. The observed wavelength is longer, so this is a redshift.
- Δλ ÷ λ = 2.0 ÷ 400.0 = 0.0050.
- v = c × (Δλ ÷ λ) = 3.0 × 108 × 0.0050 = 1.5 × 106 m s−1.
Answer: 1.5 × 106 m s−1, moving away from Earth