# Wien’s displacement law formula

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.

## 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

Download Wien’s displacement law derivation pdf here.

## 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.