- Magnitude of Stars The magnitude M of a star is a measure of how bright a star appears to the human eye. It is defined by B M = -2.5 log( Bo where B is the actual brightness of the star and B, is a constant. (a) Expand the right-hand side of the equation. (b) Use part (a) to show that the brighter a star, the less its magnitude. (c) Betelgeuse is about 100 times brighter than Albiero. Use part (a) to show that Betelgeuse is 5 magnitudes less bright than Albiero.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.4: Laws Of Logarithms
Problem 75E: Magnitude of Stars The magnitude M of a star is a measure of how bright a star appears to the human...
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- Magnitude of Stars The magnitude M of a star is a measure
of how bright a star appears to the human eye. It is defined
by
B
M = -2.5 log(
Bo
where B is the actual brightness of the star and B, is a
constant.
(a) Expand the right-hand side of the equation.
(b) Use part (a) to show that the brighter a star, the less its
magnitude.
(c) Betelgeuse is about 100 times brighter than Albiero. Use
part (a) to show that Betelgeuse is 5 magnitudes less
bright than Albiero.
Transcribed Image Text:- Magnitude of Stars The magnitude M of a star is a measure of how bright a star appears to the human eye. It is defined by B M = -2.5 log( Bo where B is the actual brightness of the star and B, is a constant. (a) Expand the right-hand side of the equation. (b) Use part (a) to show that the brighter a star, the less its magnitude. (c) Betelgeuse is about 100 times brighter than Albiero. Use part (a) to show that Betelgeuse is 5 magnitudes less bright than Albiero.
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