1. What is Wien's Law for Frequency?

Wien's Law relates the temperature of a black body to the peak frequency (or wavelength) of its emitted radiation. It describes how hotter objects emit radiation at higher frequencies (shorter wavelengths).

2. How Does the Calculator Work?

The calculator uses Wien's law equations:

Where:

• \( f \) — Peak frequency (Hz)
• \( c \) — Speed of light (299,792,458 m/s)
• \( \lambda_{max} \) — Peak wavelength (m)
• \( b \) — Wien's constant (0.002897771955 m·K)
• \( T \) — Temperature (K)

Explanation: The equation calculates the frequency at which a black body emits the most radiation at a given temperature.

3. Importance of Peak Frequency Calculation

Details: Calculating peak frequency helps in understanding black body radiation, stellar physics, thermal imaging, and various applications in astronomy and thermodynamics.

4. Using the Calculator

Tips: Enter temperature in Kelvin (must be greater than 0). The calculator will determine the peak frequency of emitted radiation.

5. Frequently Asked Questions (FAQ)

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

Q2: How does temperature relate to frequency?
A: Higher temperatures shift the peak frequency to higher values (shorter wavelengths), following Wien's displacement law.

Q3: What are typical applications of this calculation?
A: Used in astronomy to determine star temperatures, in thermal imaging, and in understanding thermal radiation from objects.

Q4: Why does the calculator use Wien's constant?
A: Wien's constant (b) is the product of the peak wavelength and temperature, empirically determined to be approximately 2.897771955×10⁻³ m·K.

Q5: Can this be used for non-black bodies?
A: The calculation gives an approximation for real objects, though actual emission spectra may differ based on material properties.