1. What is Wien's Law?

Wien's Law describes the relationship between the temperature of a black body and the wavelength at which it emits the most radiation. It states that the peak wavelength is inversely proportional to the temperature.

2. How Does the Calculator Work?

The calculator uses Wien's Law equation:

Where:

• \( T \) — Temperature in Kelvin (K)
• \( \lambda_{peak} \) — Peak wavelength in micrometers (μm)
• 2898 — Wien's displacement constant (μm·K)

Explanation: The equation shows that hotter objects emit radiation at shorter wavelengths, while cooler objects emit at longer wavelengths.

3. Importance of Temperature Calculation

Details: Calculating temperature from peak wavelength is crucial in astrophysics, thermal imaging, and materials science for determining the temperature of stars, objects, and surfaces without direct contact.

4. Using the Calculator

Tips: Enter the peak wavelength in micrometers (μm). The value must be greater than zero. The calculator will compute the corresponding temperature in Kelvin.

5. Frequently Asked Questions (FAQ)

Q1: What is a black body?
A: A black body is an idealized physical body that absorbs all incident electromagnetic radiation, regardless of frequency or angle of incidence.

Q2: Why is the constant 2898?
A: The constant 2898 μm·K is derived from experimental measurements and represents Wien's displacement constant for wavelength calculations.

Q3: What are typical wavelength ranges?
A: For common temperatures: room temperature (~300K) peaks around 9.7μm, the sun (~5800K) peaks around 0.5μm (visible light).

Q4: Can this be used for non-black bodies?
A: Wien's Law applies specifically to black bodies. For real objects, the peak may shift slightly depending on the material's emissivity properties.

Q5: What are the limitations of this equation?
A: The equation assumes ideal black body radiation and may not be accurate for objects with significant deviations from black body behavior or at extreme temperatures.