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Kepler's Law

The temperatu...

Question

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

A

2

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B

4

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C

8

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D

16

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Solution

The correct option is D 16
We know that from Stefan's Boltzmann relation: $E \propto T^{4}$
if the temperature of the sun will be doubled, then : $E \propto (2 T)^{4}$
Hence, $E w i l l i n c r e a s e b y t h e f a c t o r o f 16$ .

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