A star of apparent magnitude ____ appears 2.51 times brighter than a star of apparent magnitude 4.
A) 1
B) 1.49
C) 3
D) 6.51
E) 10

Question

Quizplus · Accepted Answer

The difference in magnitude between two stars is related to their brightness ratio by the formula: brightness ratio = 2.51^(magnitude difference). For a star to be 2.51 times brighter than a star of magnitude 4, it must have a magnitude difference of 1 (since 2.51^1 = 2.51), making its magnitude 3.

A Star of Apparent Magnitude ____ Appears 2