Transmission Of Heat Question 240

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

[AIIMS 2004]

Options:

A) 104

B) 625

C) 256

D) 16

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{Q _{2}}{Q _{1}}={{( \frac{r _{2}^{2}}{r _{1}^{2}} )}^{2}}\times {{( \frac{T _{2}}{T _{1}} )}^{4}} $

$ ={{( \frac{100}{1} )}^{2}}\times {{( \frac{1}{2} )}^{4}}=625 $