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4 June, 14:06

How many times hotter than the sun surface is the surface of a star the same size but gives off twice the amount of energy per second?

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  1. 4 June, 16:25
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    The effective temperature of a star is relative to the fourth root of the luminosity and is contrariwise proportional to the square root of the radius.

    L = k R² T⁴

    If the radius remains continuous, while the luminosity doubles, the temperature must increase by a factor of the fourth root of two.

    If L → 2L, then T → 1.189207115 T

    So the answer is approximately 1.19 times.
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