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If the temperature of the sun is doubled, the rate of energy received on the earth will be increased by a factor of

Asked in CBSE AIPMT 1993 · Stefan-Boltzmann law

Answer: (4) 16

Step-by-step solution

Given: the sun's absolute temperature doubled, with its size and its distance unchanged.

Idea: a black body's output follows Stefan's law, and the flux reaching the earth is that output divided by a fixed area.

E∝ T⁴

(E')/E=((2T)/T)⁴=2⁴

=16

Why the other options are wrong

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