1. What is Wien's Displacement Law?

Wien's Displacement Law states that the black-body radiation curve for different temperatures peaks at a wavelength inversely proportional to the temperature. It describes the relationship between the temperature of an object and the wavelength at which it emits the most radiation.

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: 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 temperature in Kelvin (K). The value must be greater than 0. The calculator will output the peak wavelength in meters.

5. Frequently Asked Questions (FAQ)

Q1: What is Wien's constant value?
A: Wien's displacement constant is approximately 2.897 × 10⁻³ meter-kelvin (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 be used for all objects?
A: The law applies specifically to black bodies, which are perfect absorbers and emitters of radiation. Real objects approximate this behavior.

Q4: What are practical applications of this law?
A: Applications include determining star temperatures, thermal camera calibration, and designing heating elements and lighting systems.

Q5: How does this relate to the color of objects?
A: The peak wavelength determines the dominant color of thermal radiation emitted by an object at a given temperature.