If two stars differ in magnitude by 15 magnitudes,what is the ratio of their brightnesses?
A)15:1
B)300:1
C)1000:1
D)1,000,000:1

Name: If two stars differ in magnitude by 15 magnitudes,what is the ratio of their brightnesses? A)15:1 B)300:1 C)1000:1 D)1,000,000:1
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Question

Quizplus · Accepted Answer

The magnitude scale is logarithmic, with a difference of 5 magnitudes corresponding to a brightness ratio of 100:1. Therefore, a difference of 15 magnitudes corresponds to a brightness ratio of (100:1)^(15/5) = 100^3:1 = 1,000,000:1.

If Two Stars Differ in Magnitude by 15 Magnitudes,what Is