What is the relationship between the wavelength of the peak (maximum) of the gaussian curve and the temperature in degrees kelvin?

Explanation:

Wien's displacement law states that the radiation of the black body curve for different temperatures will give peak values at different wavelengths and this wavelength is related inversely to the temperature.

Formally the law of Wien displacement states that the black body's spectral radiation per unit of wavelength, will give peaks at the wavelength of   which is given by the mathematical expression.

Here, b is proportionality constant  with value of

The wavelength of the peak of the Gaussian curve is inversely related to temperature in degree kelvin.

d is the correct answer