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  • Star Size and Temperature: Understanding Luminosity
    If two stars have the same luminosity but star A is larger than star B, we can conclude that star B is hotter than star A.

    Here's why:

    * Luminosity: Luminosity is the total amount of light energy a star emits per second. It depends on both the star's temperature and its surface area.

    * Size: A larger star has a greater surface area.

    * Temperature: A hotter star emits more light per unit area.

    Since stars A and B have the same luminosity, the larger surface area of star A must be compensated for by a lower temperature. In other words, star A is cooler and emits less light per unit area, while star B is hotter and emits more light per unit area to achieve the same overall luminosity.

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