1. What is the Wavelength Equation?

The wavelength equation relates the frequency of electromagnetic radiation to its wavelength through the speed of light. This fundamental relationship is crucial in optics, radio communications, and quantum mechanics.

2. How Does the Calculator Work?

The calculator uses the wavelength equation:

Where:

• \( f \) — Wavelength (meters)
• \( c \) — Speed of light (299,792,458 m/s in vacuum)
• \( freq \) — Frequency (Hz)

Explanation: The equation shows that wavelength is inversely proportional to frequency - higher frequencies have shorter wavelengths.

3. Importance of Wavelength Calculation

Details: Accurate wavelength calculation is essential for designing optical systems, antenna systems, and understanding electromagnetic wave propagation.

4. Using the Calculator

Tips: Enter frequency in Hz and speed of light in m/s (default is vacuum speed). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between wavelength and frequency?
A: They are inversely proportional - as frequency increases, wavelength decreases, and vice versa.

Q2: Does the speed of light change in different media?
A: Yes, the speed of light is slower in materials like glass or water, which affects the wavelength.

Q3: What are typical wavelength ranges?
A: Radio waves can be kilometers long, visible light is 400-700 nm, and X-rays are fractions of nanometers.

Q4: How does this relate to Gaussian beams?
A: Gaussian beam propagation characteristics depend on the wavelength of the light.

Q5: Why is the speed of light important in this calculation?
A: It's the fundamental constant that connects the time domain (frequency) to the spatial domain (wavelength).