A) \[{{\lambda }_{\max }}\]max is proportional to absolute temperature (T)
B) \[{{\lambda }_{\max }}\] is proportional to square of absolute temperature \[({{T}^{2}})\]
C) \[{{\lambda }_{\max }}\] is inversely proportional to absolute temperature (T)
D) \[{{\lambda }_{\max }}\] is inversely proportional to square of absolute temperature \[({{T}^{2}})\] (\[{{\lambda }_{\max }}\] = wavelength whose energy density is greatest)
Correct Answer: C
Solution :
Wien's displacement law \[{{\lambda }_{\max }}.T=b\] where b = Wien's constant \[\therefore \] \[{{\lambda }_{\max }}\propto \frac{1}{T}\] Thus, \[{{\lambda }_{\max }}\]is inversely proportional to absolute temperature (T).
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