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 wien?s 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, wien?s law is \[{{\lambda }_{m}}T=\text{costant}\] or \[{{\lambda }_{m}}=\frac{\text{costant}}{T}\] or \[{{\lambda }_{m}}\propto \frac{1}{T}\] or \[{{\lambda }_{m}}\propto {{T}^{-1}}\]
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