According to wien’s displacement law, the wavelength (λm) corresponding to maximum energy density is inversely proportional to the absolute temperature (T) of the body.
This is called wien’s displacement law formula. Where b=0.2898 cm and b is called Wien’s constant.
Contents
Derivation of Wien’s displacement law formula
Wien’s displacement law derivation from Plank’s law
According to Plank’s law
For maximum E (λ),
Hence eqn. (1) becomes
The value of x/b ~ 5, though the exact value is found to be 4.9651.
Put this value in eqn. (2)
Which is Wien’s displacement law formula derived from plank’s radiation law.
Application of Wien’s displacement law
- Wien’s displacement law is useful for determining the temperatures of hot radiant objects such as stars.
- It is also useful for a determination of the temperature of any radiant object whose temperature is far above that of its surroundings.
Wien’s displacement law derivation pdf
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Frequently asked Question on Wien’s Displacement Law
What is Wien’s displacement constant.
b=0.2898 cm and b is called Wien’s constant.
Application of Wien’s displacement law
Wien’s displacement law is useful for determining the temperatures of hot radiant objects such as stars.
It is also useful for a determination of the temperature of any radiant object whose temperature is far above that of its surroundings.