a) If a star that is at 100 light-years from us appears to be 10th magnitude, would its absolute magnitude be a larger or a smaller number than its apparent magnitude? Why?

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1) Answer the following:
a) If a star that is at 100 light-years from us
appears to be 10th magnitude, would its absolute
magnitude be a larger or a smaller number than its
apparent magnitude? Why?
b) if Star X has twice the apparent brightness of
Star Y, but Star X is a factor of 8 times further away
from us than Star Y, what is the ratio of the
luminosity of Star X to the luminosity of Star Y?
Please explain both parts clearly so I can
understand. Thank you so much and you are
appreciated!
Transcribed Image Text:1) Answer the following: a) If a star that is at 100 light-years from us appears to be 10th magnitude, would its absolute magnitude be a larger or a smaller number than its apparent magnitude? Why? b) if Star X has twice the apparent brightness of Star Y, but Star X is a factor of 8 times further away from us than Star Y, what is the ratio of the luminosity of Star X to the luminosity of Star Y? Please explain both parts clearly so I can understand. Thank you so much and you are appreciated!
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