The Big Bang, red-shift and the expanding Universe

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Question 31
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A distant galaxy is observed at a distance of 125 Mpc125\text{ Mpc}125 Mpc from Earth. A hydrogen-beta spectral line, which has a rest wavelength of λ0=486.1 nm\lambda_0 = 486.1\text{ nm}λ0​=486.1 nm, is detected in the light emitted by this galaxy.

Using a Hubble constant of H0=72 km s−1 Mpc−1H_0 = 72\text{ km s}^{-1}\text{ Mpc}^{-1}H0​=72 km s−1 Mpc−1 and speed of light c=3.00×108 m s−1c = 3.00 \times 10^8\text{ m s}^{-1}c=3.00×108 m s−1, what is the observed wavelength of this spectral line on Earth?

472 nm472\text{ nm}472 nm

486 nm486\text{ nm}486 nm

488 nm488\text{ nm}488 nm

501 nm501\text{ nm}501 nm

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

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