Transmission Of Heat Question 238

Question: A black body radiates at the rate of W watts at a temperature T. If the temperature of the body is reduced to T/3, it will radiate at the rate of (in Watts)

[BHU 1998; MP PET 2003]

Options:

A) $ \frac{W}{81} $

B) $ \frac{W}{27} $

C) $ \frac{W}{9} $

D) $ \frac{W}{3} $

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Answer:

Correct Answer: A

Solution:

$ P=( \frac{Q}{t} )\propto T^{4} $

Therefore $ \frac{W}{P _{2}}={{( \frac{T}{T/3} )}^{4}} $

Therefore $ P _{2}=\frac{W}{81} $ .