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 |
| \[{{\lambda }_{m}}T=\text{costant}\] |
| or \[{{\lambda }_{m}}=\frac{\text{costant}}{T}\] |
| or \[{{\lambda }_{m}}\propto \frac{1}{T}\] |
| or \[{{\lambda }_{m}}\propto {{T}^{-1}}\] |
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