Transmission Of Heat Question 269

Question: The maximum wavelength of radiation emitted at $ 2000\ K $ is $ 4\mu m $ . What will be the maximum wavelength of radiation emitted at

[MP PMT/PET 1998; DPMT 2000]

Options:

A) $ 3.33\ \mu m $

B) $ 0.66\ \mu m $

C) $ 1\ \mu m $

D) $ 1\ m $

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Answer:

Correct Answer: A

Solution:

$ \

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

$ \Rightarrow {\lambda _{m _{2}}}=\frac{2000}{2400}\times 4=3.33\ \mu m $