Transmission Of Heat Question 294

Question: The radiation energy density per unit wavelength at a temperature T has a maximum at a wavelength $ {\lambda _{0}} $ . At temperature $ 2T $ , it will have a maximum at a wavelength

Options:

A) 4$ {\lambda _{0}} $

B) 2$ {\lambda _{0}} $

C) $ {\lambda _{0}} $ /2

D) $ {\lambda _{0}} $ /4

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Answer:

Correct Answer: C

Solution:

$ \because \ {\lambda _{m}}T={{{\lambda }’} _{m}}{T}’ $

$ \Rightarrow $ $ {\lambda _{0}}T={\lambda }’\times 2T $

$ \Rightarrow $ $ {\lambda }’=\frac{{\lambda _{0}}}{2} $