Transmission Of Heat Question 226

Question: Temperature of a black body increases from $ 327^{o}C,\text{to},\text{92}{{\text{7}}^{\text{o}}}C $ , the initial energy possessed is 2KJ, what is its final energy

[DCE 2001]

Options:

A) 32 KJ

B) 320 KJ

C) 1200 KJ

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ \frac{Q _{2}}{Q _{1}}={{( \frac{T _{2}}{T _{1}} )}^{4}}={{( \frac{273+927}{273+327} )}^{4}}={{( \frac{1200}{600} )}^{4}}=16 $

Therefore Q2­ $ =32\ KJ $