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Suppose Galaxy B is 10 times further from Earth than Galaxy A. How does the red shift observed from Galaxy B compare to that of Galaxy A?

Question

Suppose Galaxy B is 10 times further from Earth than Galaxy A. How does the red shift observed from Galaxy B compare to that of Galaxy A?

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Solution

The redshift of a galaxy is a measure of how much its light has been stretched by the expansion of the universe. This is often used as a proxy for distance, because the further away a galaxy is, the more the universe has expanded since the light left that galaxy.

If Galaxy B is 10 times further away from Earth than Galaxy A, then the light from Galaxy B has traveled through more expanding space. This means that the light has been stretched more, which would increase the redshift.

Therefore, we would expect the redshift observed from Galaxy B to be greater than that of Galaxy A. The exact amount would depend on the details of the universe's expansion rate, but in a simple model where the expansion rate is constant, the redshift would be roughly 10 times greater for Galaxy B than for Galaxy A.

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