Answer :
The correct answer is Option f. Star A is 512.45 times brighter than Star B, or in other words, Star A is 0.0102 times as bright as Star B.
The magnitude of a star refers to its brightness as seen from Earth.
The magnitude scale is such that a difference of 1 magnitude unit is equal to a brightness difference of 2.512.
If one star has a magnitude of 6, and the other has a magnitude of 15, the difference in magnitude between them is 9 (15 - 6 = 9).
The brightness difference can be calculated using the magnitude difference between the two stars, using the following formula: Brightness difference = [tex]2.512^{(magnitude difference)}[/tex]
In this case, the magnitude difference between the two stars is 9.
So, the brightness difference can be calculated as:
[tex]Brightness difference = 2.512^9 = 512.45[/tex]
Therefore, Star A is 512.45 times brighter than Star B, or in other words, Star A is 0.0102 times as bright as Star B.
Hence, the correct answer is f. 0.0102.
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