Transmission Of Heat Question 205

Question: A black body at a temperature of $ 227^{o}C $ radiates heat energy at the rate of 5 cal/cm2-sec. At a temperature of $ 727^{o}C $ , the rate of heat radiated per unit area in cal/cm2will be

[MP PET 1987; MH CET 2002]

Options:

A) 80

B) 160

C) 250

D) 500

Show Answer

Answer:

Correct Answer: A

Solution:

$ \frac{E _{2}}{E _{1}}={{( \frac{T _{2}}{T _{1}} )}^{4}} $

$ =( \frac{273+727}{237+227} )=\frac{{{(1000)}^{4}}}{{{(500)}^{4}}}=16\Rightarrow E _{2}=80 $