Transmission Of Heat Question 202

Question: The rate of radiation of a black body at 0°C is EJ/sec. The rate of radiation of this black body at $ 273^{o}C $ will be

[MP PMT 1989; Kerala PET 2002; UPSEAT 2001]

Options:

A) $ 16\ E $

B) $ T _{2}=8T _{1} $

C) $ 4\ E $

D) $ E $

Show Answer

Answer:

Correct Answer: A

Solution:

$ \frac{E _{1}}{E _{2}}={{( \frac{T _{1}}{T _{2}} )}^{4}}\Rightarrow \frac{E}{E _{2}}={{( \frac{273+0}{273+273} )}^{4}} $

$ \Rightarrow E _{2}=16\ E $ .