Transmission Of Heat Question 224

Question: At temperature T, the power radiated by a body is Q watts. At the temperature 3T the power radiated by it will be

[MP PET 2000]

Options:

A) 3 Q

B) 9 Q

C) 27 Q

D) 81 Q

Show Answer

Answer:

Correct Answer: D

Solution:

Power radiated $ P\propto T^{4} $

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

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

Therefore $ P _{2}=81Q $