Transmission Of Heat Question 245

Question: The temperature of the body is increased from ?73 o C to 327 o C, the ratio of energy emitted per second is :

[CPMT 2001; Pb. PET 2001]

Options:

A) 1 : 3

B) 1 : 81

C) 1 : 27

D) 1 : 9

Show Answer

Answer:

Correct Answer: B

Solution:

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

$ \frac{P _{1}}{P _{2}}={{( \frac{T _{1}}{T _{2}} )}^{4}}={{( \frac{273-73}{273+327} )}^{4}}={{( \frac{200}{600} )}^{4}}=\frac{1}{81} $