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Red shift of a blazar

Suppose a blazar at z=1.00 goes through a fluctuation in brightness that lasts one week (168 hours) as seen from Earth.

(a) At what speed does the blazar appear to be moving away from us?

(b) Using the idea of time dilation, determine how long this fluctuation lasted as measured by the astronomer within the blazar?s host galaxy.

(c) What is the maximum size (in AU) of the region from which this blazar emits energy?

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The 3 pages file contains complete explanations, derivations and solutions showing how to obtain the required results.