Transmission Of Heat Question 277

Question: The temperature of sun is 5500 K and it emits maximum intensity radiation in the yellow region $ (5.5\times {{10}^{-7}}m) $ . The maximum radiation from a furnace occurs at wavelength $ 11\times {{10}^{-7}}m. $ The temperature of furnace is

[J & K CET 2000]

Options:

A) 1125 K

B) 2750 K

C) 5500 K

D) 11000 K

Show Answer

Answer:

Correct Answer: B

Solution:

$ {\lambda _{m _{1}}}T={\lambda _{m _{2}}}T _{2} $

Therefore $ 5.5\times {{10}^{-7}}\times 5500=11\times {{10}^{-7}}T $

$ T=550\times 5K=2750K $