A star with the same luminosity as the Sun,but which is twice as hot,must be four times as big.

Question

Quizplus · Accepted Answer

A star's luminosity is proportional to its surface area and the fourth power of its temperature. If a star is twice as hot as the Sun, its luminosity would increase by a factor of 2^4 (16), so to maintain the same luminosity as the Sun, its surface area must be 1/16th, meaning it would be smaller, not larger.

A Star with the Same Luminosity as the Sun,but Which