According to Wein's Displacement Law, how is the wavelength of maximum radiation (λm) related to absolute temperature?

Wein's Displacement Law establishes a clear relationship between the wavelength of maximum radiation emitted by a black body and its absolute temperature. Specifically, the law states that the wavelength at which the emission of radiation is maximized is inversely proportional to the absolute temperature of the body. This means that as the temperature increases, the wavelength of maximum radiation decreases.

Mathematically, this relationship is expressed by the formula:

λm = b / T

Where λm is the wavelength of maximum emission, T is the absolute temperature in Kelvin, and b is Wien's displacement constant. Since this relationship indicates that a higher temperature results in a shorter wavelength, it demonstrates an inverse proportionality. In practical terms, this means that hot objects emit radiation at shorter wavelengths (e.g., blue light) compared to cooler objects that emit longer wavelengths (e.g., red light). Therefore, the correct choice highlights this fundamental principle of thermal radiation.