Transmission Of Heat Question 210

Question: The temperatures of two bodies A and B are $ 727^{o}C $ and $ 127^{o}C $ . The ratio of rate of emission of radiations will be

[MP PET 1986]

Options:

A) 727/127

B) 625/16

C) 1000/400

D) 100/16

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{E _{1}}{E _{2}}={{( \frac{T _{1}}{T _{2}} )}^{4}}={{( \frac{727+273}{127+273} )}^{4}} $

$ =\frac{{{(1000)}^{4}}}{{{(400)}^{4}}}=\frac{10^{4}}{4^{4}}=\frac{625}{16} $