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According to Wien’s displacement law
A law is a statement or principle that describes a consistent relationship observed in nature or science. It is based on repeated experiments and observations. Laws are universally applicable and do not change under different conditions, like Newton’s laws of motion or the law of conservation of energy.
Class 11 Physics Chapter 10 Thermal Properties of Matter focuses on understanding temperature heat and specific heat capacity. It explains thermal expansion and calorimetry. The chapter also covers the transfer of heat through conduction and convection and introduces the laws of thermodynamics along with the behavior of gases under varying temperature and pressure conditions.
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Wien’s displacement law is such that the absolute temperature of the black body, T, varies inversely as the wavelength at which the intensity of the emitted radiation is maximum, λₘₐₓ . This relationship can be put in the form of an equation: λₘₐₓ × T = constant. In this case, an increase in temperature leads to a decrease in the wavelength of radiation emitted at its maximum intensity and vice versa.
In other words, if you increase the temperature of an object, the peak wavelength of the radiation emitted by that object shifts to shorter wavelengths. For example, a hotter object emits radiation with a peak wavelength in the ultraviolet region, while a cooler object emits radiation with a peak wavelength in the infrared region.
Thus, the correct relationship is:
λₘₐₓ * T = constant
This means that for any given black body, regardless of the size or the material composition, the product of the wavelength at maximum value λₘₐₓ and temperature T is a constant.
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