1. What is Wien's Law?

Wien's displacement law states that the black-body radiation curve for different temperatures will peak at different wavelengths that are inversely proportional to the temperature. It describes the relationship between the temperature of a black body and the wavelength at which it emits the most radiation.

2. How Does the Calculator Work?

The calculator uses Wien's Law formula:

Where:

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

Explanation: The calculator converts the result from meters to nanometers (1 m = 10⁹ nm) for easier interpretation.

3. Importance of Peak Wavelength Calculation

Details: Calculating the peak wavelength is crucial in various fields including astronomy (determining star temperatures), thermal imaging, and understanding black-body radiation in physics.

4. Using the Calculator

Tips: Enter the temperature in Kelvin. The temperature must be greater than 0 K (absolute zero). The result is displayed in nanometers for practical applications.

5. Frequently Asked Questions (FAQ)

Q1: What is Wien's displacement constant?
A: Wien's displacement constant (b) is approximately 2.897 × 10⁻³ m·K and is derived from experimental data on black-body radiation.

Q2: Why convert the result to nanometers?
A: Nanometers are a more practical unit for measuring wavelengths of light in the visible and near-visible spectrum.

Q3: Can this be used for any object?
A: Wien's Law applies specifically to ideal black bodies, but can provide good approximations for many real objects including stars.

Q4: What temperatures are typically used with this law?
A: This law is applicable across a wide temperature range, from very cold objects to extremely hot stars.

Q5: How accurate is Wien's Law?
A: Wien's Law is highly accurate for determining the peak wavelength of black-body radiation, though real objects may deviate slightly due to emissivity factors.