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The spectral lines observed in the spectrum from a distant galaxy are redshifted. A galaxy known as NGC 6745 has a recessional velocity of 4-51 x 10º m s¯¹. Calculate the redshift of the light from this galaxy.

Physics

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Answer

0.0150\text{0.0150}

Step-by-step solution

3 steps

  1. Use the formula for redshift (zz) in terms of recessional velocity (vv) and the speed of light (cc).

    z=vcz = \frac{v}{c}

    The speed of light cc is approximately 3.00×108 m s−13.00 \times 10^8 \text{ m s}^{-1}.

  2. Substitute the given recessional velocity and the speed of light into the formula.

    z=4.51×106 m s−13.00×108 m s−1z = \frac{4.51 \times 10^6 \text{ m s}^{-1}}{3.00 \times 10^8 \text{ m s}^{-1}}

  3. Calculate the redshift.

    z=4.513.00×106108z = \frac{4.51}{3.00} \times \frac{10^6}{10^8} z=1.50333...×10−2z = 1.50333... \times 10^{-2} z≈0.0150z \approx 0.0150

    The redshift of the light from this galaxy is 0.0150\text{0.0150}.

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