1. Frequency-Wavelength Relationship

The fundamental relationship between frequency and wavelength is described by the equation f = c/λ, where f is frequency, c is the speed of light, and λ is wavelength. This equation applies to all electromagnetic waves in a vacuum.

2. How the Calculator Works

The calculator uses the frequency-wavelength equation:

Where:

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

Explanation: The equation shows that frequency is inversely proportional to wavelength - as wavelength increases, frequency decreases, and vice versa.

3. Importance of the Calculation

Details: This calculation is fundamental in physics, engineering, and telecommunications for designing systems that use electromagnetic waves, from radio to visible light.

4. Using the Calculator

Tips: Enter the wavelength in meters (for example, 550 nm would be 0.000000550 m). The calculator will output the corresponding frequency in Hertz.

5. Frequently Asked Questions (FAQ)

Q1: What is the speed of light value used?
A: The calculator uses the exact value of 299,792,458 m/s (the speed of light in a vacuum).

Q2: Does this work for all electromagnetic waves?
A: Yes, the relationship holds for all EM waves in a vacuum. In other media, the speed changes slightly.

Q3: What are typical wavelength ranges?
A: Radio waves: 1mm-100km, Visible light: 380-750nm, X-rays: 0.01-10nm.

Q4: Can I calculate wavelength from frequency?
A: Yes, simply rearrange the equation to λ = c/f.

Q5: Why is frequency important?
A: Frequency determines a wave's energy and how it interacts with matter (e.g., different colors in visible light).