ThermodynamicsHard
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 emited by it then will increase by a factor of :
Options
A.104
B.625
C.16
D.16
Solution
E = σT4, here E is energy radiated per area. Total energy emitted = σT4 × A Total energy emitted by sun after expansion
σ ×
× 100 × 100 A [where radius becomes 100 times,area becomes 1002 times]
σT4 ×
× 100 × 100 = 625 × σT4A
So, total energy emitted is 625 times.
σ ×
× 100 × 100 A [where radius becomes 100 times,area becomes 1002 times] σT4 ×
× 100 × 100 = 625 × σT4A So, total energy emitted is 625 times.
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