A) \[{{\lambda }_{m}}\propto {{T}^{4}}\]
B) \[{{\lambda }_{m}}\]is independent of T
C) \[{{\lambda }_{m}}\propto T\]
D) \[{{\lambda }_{m}}\propto {{T}^{-1}}\]
Correct Answer: D
Solution :
According to Wiens displacement law, the wavelength\[({{\lambda }_{m}})\]of maximum intensity of emission of black body radiation is inversely proportional to absolute temperature (T) of the black body. Therefore, Wiens law is \[{{\lambda }_{m}}T=constant\] Or \[{{\lambda }_{m}}=\frac{constant}{T}\] Or \[{{\lambda }_{m}}\propto \frac{1}{T}\] Or \[{{\lambda }_{m}}\propto {{T}^{-1}}\]
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