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

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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.