First slide

Radiation

Question

Suppose the sun expands so that its radius becomes 100 times its present radius and its surface temperature becomes half of its present value. The total energy emitted by it then will increase by a factor of :

Moderate

A

10⁴
B

625
C

256
D

16

Solution

Total energy emitted per second $Q = {σAT}^{4}$
$\frac{Q'}{Q} = (\frac{A'}{A}) {(\frac{T'}{T})}^{4} = (10^{4}) = {(\frac{1}{2})}^{4} = 5^{4} = 625$

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