According to Wien's law, the wavelength corresponding to maximum energy is proportion to

Solution(By Examveda Team)

Wien's law formula
The equation describing Wien's law is very simple:
$${\lambda _{\max }} = \frac{{\text{b}}}{{\text{T}}}$$
where,
• $${\lambda _{\max }}$$  is the aforementioned peak wavelength of light
• T is an absolute temperature of a black body
• b = 2.8977729 mm$$ \cdot $$K is the Wien's displacement constant
Although the relation between wavelength and frequency of electromagnetic waves is fairly simple ($$\lambda $$ × f = c), we can't work out the peak frequency f_max by this analogy. The reason is that spectral radiance is a sort of energy density function, so its shape and maximum depend on the argument (wavelength or frequency in our case).
Knowing that the formula for the peak frequency is:
f_max = k × T,
where k = 5.8789232 × 10¹⁰ Hz/K is a numerical constant.
Wien's law formula can't be derived from classical physics. Numerous observations that confirm this law are among experiments (e.g., photoelectric effect), which contribute to the creation of quantum mechanics.