1. What is Wien's Displacement Law?

Wien's Displacement Law describes the relationship between the temperature of a blackbody and the peak wavelength at which it emits radiation. It states that the product of the peak wavelength and the temperature is constant.

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)
• \( T \) — Temperature (K)

Explanation: The law shows that hotter objects emit radiation at shorter wavelengths, which is why very hot objects appear blue-white while cooler objects appear red.

3. Importance of Peak Wavelength Calculation

Details: Calculating peak wavelength is crucial in astrophysics for determining stellar temperatures, in thermal imaging, and in various industrial applications where temperature measurement through radiation is required.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the typical value of Wien's constant?
A: The standard 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: Can this law be applied to all objects?
A: Wien's law applies specifically to blackbodies - ideal objects that absorb all incident radiation. Real objects approximate this behavior to varying degrees.

Q4: What are some practical applications?
A: Applications include determining star temperatures, infrared thermography, pyrometry, and understanding thermal radiation in engineering systems.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for ideal blackbodies, though real-world applications may require corrections for emissivity and other factors.