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Wien’s law states that the wave length corresponding to ________ is proportional to the absolute temperature.

A. Minimum energy

B. Maximum energy

C. Both (A) and (B)

D. None of these

Answer: Option B

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 fmax 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:
fmax = 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.

This Question Belongs to Mechanical Engineering >> Heat And Mass Transfer

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