1. What is Wien's Displacement Law?

Wien's Displacement Law describes the relationship between the temperature of a blackbody and the peak wavelength of its emitted radiation. It states that the peak wavelength is inversely proportional to the absolute temperature.

2. How Does the Calculator Work?

The calculator uses Wien's Displacement Law:

Where:

• \( \lambda_{\text{max}} \) — Peak wavelength (m)
• \( b \) — Wien's displacement constant (2.897 × 10⁻³ m·K)
• \( T \) — Absolute temperature (K)

Explanation: As the temperature increases, the peak wavelength decreases, shifting toward the blue/violet end of the spectrum.

3. Importance of Peak Wavelength Calculation

Details: This calculation is crucial in astrophysics for determining stellar temperatures, in thermal imaging, and in various industrial applications involving thermal radiation.

4. Using the Calculator

Tips: Enter Wien's constant in m·K (default is 0.002897) and temperature in Kelvin. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical value of Wien's constant?
A: The commonly accepted value is approximately 2.897 × 10⁻³ m·K (0.002897 m·K).

Q2: Why is temperature measured in Kelvin?
A: Kelvin is an absolute temperature scale where 0 K represents absolute zero, making it appropriate for thermodynamic calculations.

Q3: What are practical applications of this law?
A: Applications include determining star temperatures, designing thermal imaging systems, and optimizing industrial heating processes.

Q4: Does this law apply to all objects?
A: The law specifically applies to blackbodies - ideal radiators that absorb all incident radiation. Real objects approximate this behavior.

Q5: How does this relate to the color of heated objects?
A: As objects heat up, their emitted radiation shifts to shorter wavelengths, changing from red to orange to yellow to white as temperature increases.