Wiens Displacement Law Calculator

What is Wien's Displacement Law?

Wien's Displacement Law states that the wavelength at which the emission of a black body is at its maximum intensity is inversely proportional to its temperature. It is mathematically expressed as:

\(\lambda_{\text{max}} = \frac{b}{T}\)

where:

• \(\lambda_{\text{max}}\) is the wavelength at maximum emission (in meters).
• b is Wien's displacement constant, approximately 2.898 × 10⁻³ m·K.
• T is the absolute temperature of the black body (in Kelvin).

How to Use the Calculator

1. Enter the wavelength (λ) of the black body's emission in meters.
2. Click the "Calculate" button to compute the temperature.
3. The temperature in Kelvin will be displayed in the results section.
4. Use the "Reset" button to clear all inputs and results.

Example

If a black body radiator emits maximum radiation at a wavelength of 500 nm (0.5 × 10⁻⁶ meters), the temperature can be calculated as follows:

\(T = \frac{2.898 \times 10^{-3} \text{ m·K}}{0.5 \times 10^{-6} \text{ m}} = 5796 \text{ K}\)