Transmission Of Heat Question 260

Question: The wavelength of maximum emitted energy of a body at 700 K is 4.08 $ \mu m $ . If the temperature of the body is raised to 1400 K, the wavelength of maximum emitted energy will be

[MP PET 1990]

Options:

A) $ 1.02\ \mu m $

B) 16.32$ \mu m $

C) 8.16$ \mu m $

D) 2.04$ \mu m $

Show Answer

Answer:

Correct Answer: D

Solution:

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

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

$ =4.08\times \frac{700}{1400}=2.04,m $