The frequency distribution of a blackbody spectrum is described by Planck's law, which states that the intensity of radiation emitted by a blackbody at a particular frequency is given by:
I(ν) = (2hν^3 / c^2) * (1 / (e^(hν / kT) - 1))
In this equation, I(ν) represents the intensity of radiation at frequency ν, h is Planck's constant, c is the speed of light, k is the Boltzmann constant, and T is the temperature of the blackbody.
The spectrum of a blackbody is continuous and spans a wide range of frequencies. As the temperature of the blackbody increases, the peak intensity of the spectrum shifts to higher frequencies. This shift is known as Wien's displacement law, which states that the wavelength at which the intensity is maximum (λ_max) is inversely proportional to the temperature:
λ_max = (b / T)
Here, b is a constant known as Wien's displacement constant.
In summary, the frequency of a blackbody spectrum varies continuously, and the peak intensity shifts to higher frequencies as the temperature increases.