1. What is Wavelength?

Wavelength is the spatial period of a periodic wave—the distance over which the wave's shape repeats. It is usually measured in meters and is inversely proportional to frequency.

2. The Wavelength Formula

The fundamental wavelength formula is:

Where:

• \( \lambda \) — Wavelength (meters)
• \( c \) — Speed of the wave (meters/second)
• \( f \) — Frequency (Hz)

Explanation: The wavelength is equal to the speed of the wave divided by its frequency. For electromagnetic waves in a vacuum, the speed (c) is the speed of light (299,792,458 m/s).

3. Importance of Wavelength Calculation

Details: Wavelength calculations are essential in physics, engineering, and telecommunications for designing antennas, understanding wave propagation, and analyzing wave behavior in different media.

4. Using the Calculator

Tips: Enter frequency in Hertz (Hz) and wave speed in meters/second. For electromagnetic waves in vacuum, the default speed of light is pre-filled. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

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

Q2: How does wavelength change in different media?
A: Wavelength decreases when a wave enters a medium where it travels slower, while frequency remains constant.

Q3: What are typical wavelength ranges?
A: Radio waves can be kilometers long, visible light is 380-750 nm, and gamma rays have picometer wavelengths.

Q4: Why is the speed of light used for EM waves?
A: All electromagnetic waves travel at the speed of light in a vacuum, which is a fundamental constant of nature.

Q5: Can this calculator be used for sound waves?
A: Yes, just input the speed of sound in the medium (about 343 m/s in air at 20°C) instead of the speed of light.