How Do the Temperatures of Star 1 and Star 2 Compare?

AI Thread Summary
Star 1 emits energy at twice the rate of Star 2 and has a radius three times larger, indicating that its temperature can be compared using the Stefan-Boltzmann law. The discussion highlights that a star's energy emission is influenced by both its temperature and surface area. A larger surface area allows for greater energy emission, while higher temperatures result in increased radiation output. Participants express confusion over the lack of provided equations for solving the problem. The key takeaway is that the relationship between energy output, surface area, and temperature is crucial for understanding the comparison of the two stars.
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Homework Statement


Star 1 emits energy at a rate that is 2 times that of Star 2. If Star 1 also has a radius that is 3 times larger than Star 2, how do the temperatures of the stars compare?

a. Star 1's temperature is 2.58 that of Star 2.

b. Star 1's temperature is 3.75 that of Star 2.

c. Star 1's temperature is 0.69 that of Star 2.

d. Star 1's temperature is 0.37 that of Star 2.

e. Star 1's temperature is 0.12 that of Star 2.

Homework Equations

The Attempt at a Solution



This is supposed to be a physics class.. I am not sure why we were given this question. The teacher didnt even give us any equations for questions like this. so i have no idea,.. pls help
 
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well Physics is about objects in the real world :biggrin:
jokes aside, a star emits electromagnetic radiation from its surface due to the temperature of the (very hot :smile:) material - similar to a hot filament in a light bulb.
hotter material will emit more radiation energy per unit time.
a larger star will have more surface area and thus also emit more energy per unit time.
so the amount of radiation energy emitted per unit time will depend on the temperature and the amount of surface area of the star.
 
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