As a star runs out of hydrogen to fuel nuclear fusion in its core, changes within the star usually cause it to leave the main sequence, expanding and cooling as it does so. Would a star with a radius 6 times that of the Sun, but a surface temperature 0.4 times that of the Sun, be more, or less luminous than the Sun? Show and explain your reasoning. You may assume the surface area of a sphere is A = 4πr2.

Stars and Galaxies (MindTap Course List)
10th Edition
ISBN:9781337399944
Author:Michael A. Seeds
Publisher:Michael A. Seeds
Chapter10: The Interstellar Medium
Section: Chapter Questions
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As a star runs out of hydrogen to fuel nuclear fusion in its core, changes within the star usually cause it to leave the main sequence, expanding and cooling as it does so. Would a star with a radius 6 times that of the Sun, but a surface temperature 0.4 times that of the Sun, be more, or less luminous than the Sun?

Show and explain your reasoning.

You may assume the surface area of a sphere is A = 4πr2. 

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