Transmission Of Heat Question 261

Question: A black body at 200 K is found to exit maximum energy at a wavelength of $ 14\mu m $ . When its temperature is raised to 1000K, the wavelength at which maximum energy is emitted is

[RPMT 1998; MP PET 1991; BVP 2003]

Options:

A) $ 14\mu m $

B) $ 70\mu F $

C) $ 2.8\mu m $

D) $ 2.8mm $

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Answer:

Correct Answer: C

Solution:

$ {\lambda _{m _{1}}}T _{1}={\lambda _{m _{2}}}T _{2}\Rightarrow {\lambda _{m _{2}}}=\frac{{\lambda _{m _{1}}}T _{1}}{T _{2}}=\frac{14\times 200}{1000}=2.8\ \mu m $