1. What is Wien's Displacement Law?

Wien's Displacement Law states that the blackbody radiation curve for different temperatures peaks at a wavelength inversely proportional to the temperature. It describes the relationship between the temperature of a blackbody 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, shifting the peak toward the blue end of the spectrum.

3. Importance of Peak Wavelength Calculation

Details: Calculating peak wavelength is essential in astrophysics, thermal imaging, and materials science to determine the temperature of objects based on their radiation spectra.

4. Using the Calculator

Tips: Enter temperature in Kelvin (K). The value must be greater than 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of Wien's constant?
A: Wien's constant (b = 2.897 × 10⁻³ m·K) is derived empirically and relates temperature to the peak wavelength in the blackbody spectrum.

Q2: Can this law be applied to all objects?
A: It applies specifically to blackbodies, which are ideal radiators. Real objects may have different emission characteristics.

Q3: How does temperature affect the peak wavelength?
A: Higher temperatures result in shorter peak wavelengths, moving from infrared to visible to ultraviolet as temperature increases.

Q4: What are practical applications of this law?
A: Used in astronomy to determine star temperatures, in thermal cameras, and in designing heating elements and lighting systems.

Q5: Why is the temperature required in Kelvin?
A: The law uses absolute temperature scale (Kelvin) because it's based on thermodynamic principles where 0 K represents absolute zero.