The statement that "maximum wavelength of radiation is inversly proportional to the temperature" is __________ law.

ANS:C - Wien's displacement

The statement that "maximum wavelength of radiation is inversely proportional to the temperature" is known as Wien's displacement law. Explanation:

1. Wien's Displacement Law: This law describes the relationship between the temperature of a blackbody radiator and the wavelength at which it emits maximum radiation intensity. It states that the wavelength (λmax) at which the radiation intensity is maximum is inversely proportional to the absolute temperature (T) of the radiator. Mathematically, it can be expressed as: max∝1λmax​∝T1​ where:
   • maxλmax​ is the wavelength of maximum radiation intensity, and
   • T is the absolute temperature of the radiator.
2. Significance: Wien's displacement law helps to understand the distribution of radiation emitted by a blackbody radiator at different temperatures. It indicates that as the temperature of the radiator increases, the peak of the radiation spectrum shifts to shorter wavelengths, meaning that higher temperature radiators emit more of their energy at shorter wavelengths.
3. Relation to Other Laws:
   • Stefan-Boltzmann's Law: This law describes the total amount of radiation emitted by a blackbody radiator and is not directly related to the wavelength of maximum radiation. It states that the total radiant flux emitted by a blackbody radiator is proportional to the fourth power of its absolute temperature.
   • Planck's Law: Planck's law describes the spectral distribution of blackbody radiation across all wavelengths and is used to calculate the intensity of radiation at different wavelengths for a given temperature. It does not directly address the relationship between the wavelength of maximum radiation and temperature.
4. Conclusion: The statement that the maximum wavelength of radiation is inversely proportional to the temperature is specifically known as Wien's displacement law, which is distinct from other laws describing blackbody radiation.