Hubble's Law relates the speed of a galaxy from its distance to us.If you assume Hubble's constant to be 23 km/s/10⁶ c · y,then what is the distance of a galaxy that is traveling at 10% the speed of light away from us? A)It is not possible for a galaxy to travel so fast! B)1.3 $\times$ 10¹⁰ c · y C)1.3 $\times$ 10⁹ c · y D)1.3 $\times$ 10¹¹ c · y E)1.3 $\times$ 10⁸ c · y

Question

Quizplus · Accepted Answer

Using Hubble's Law, we can write:

v = H0 × d

where v is the galaxy's speed, H0 is the Hubble constant, and d is the galaxy's distance from us. Rearranging this equation, we get:

d = v / H0

Substituting the given values, we get:

d = (0.1 × c) / (23 km/s/Mpc × 3.086 × 10^19 km/Mpc)

d ≈ 1.3 × 10^9 light years

Converting this to the required format, we get:

1.3 × 10^9 ly = 1.3 × 10^10 pc = 1.3 × 10^19 km

Therefore, the answer is C: 1.3 × 10^19 km.

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