1. What is Wien's Displacement Law?

Wien's Displacement 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 product of the peak wavelength and temperature is a constant.

2. How Does the Calculator Work?

The calculator uses Wien's Displacement Law equation:

Where:

• \( T \) — Temperature in Kelvin (K)
• \( \lambda_{max} \) — Peak wavelength in nanometers (nm)
• 2.897 × 10⁶ — Wien's displacement constant in nm·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: This calculation is crucial in astrophysics for determining star temperatures, in thermal imaging, and in materials science for analyzing thermal radiation.

4. Using the Calculator

Tips: Enter the peak wavelength in nanometers. The value must be greater than 0. The calculator will return the corresponding black body temperature in Kelvin.

5. Frequently Asked Questions (FAQ)

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

Q2: How accurate is this calculation?
A: The calculation is theoretically exact for ideal black bodies. Real objects may deviate depending on their emissivity.

Q3: Can this be used for all wavelengths?
A: The law applies to the peak wavelength in the black body spectrum, not to all wavelengths of emitted radiation.

Q4: What are practical applications of this law?
A: Applications include determining star temperatures, designing thermal imaging systems, and analyzing thermal radiation from objects.

Q5: Why is the constant 2.897 × 10⁶ nm·K?
A: This value is derived from fundamental physical constants and has been experimentally verified through observations of black body radiation.