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Question

What type of star has a low temperature but a high luminosity? What type of star has a low temperature and a low luminosity?
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Step 1
: Understand the problem

Luminosity ($$L$$) refers to the total amount of energy a star emits per unit of time, while temperature ($$T$$) is a measure of the star's internal energy.
We are asked to identify the type of star with a low temperature but high luminosity, and the type of star with a low temperature and low luminosity.

Step 2
: Recall the relationship between temperature, luminosity, and radius

where $$L$$ is the luminosity, $$R$$ is the radius, $$T$$ is the temperature, and $$\sigma$$ is the Stefan-Boltzmann constant.
There is a relationship between a star's temperature, luminosity, and radius, given by the formula:

Final Answer

- A star with a low temperature and high luminosity is a red giant or supergiant. - A star with a low temperature and low luminosity is a red dwarf.

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