Transmission Of Heat Question 247
Question: If the sun’s surface radiates heat at $ 6.3\times 10^{7}W{{m}^{-2}} $ . Calculate the temperature of the sun assuming it to be a black body $ (\sigma =5.7\times {{10}^{-8}}W{{m}^{-2}}{{K}^{-4}}) $
[BHU (Med.) 2000]
Options:
A) $ 5.8\times 10^{3}K $
B) $ 8.5\times 10^{3}K $
C) $ 3.5\times 10^{8}K $
D) $ 5.3\times 10^{8}K $
Show Answer
Answer:
Correct Answer: A
Solution:
From Stefan’s law $ E=\sigma T^{4} $
$ T^{4}=\frac{E}{\sigma }=\frac{6.3\times 10^{7}}{5.7\times 10^{8}}=1.105\times 10^{15}=0.1105\times 10^{16} $
$ T=0.58\times 10^{4}K=5.8\times 10^{3}K $
BETA
