1. What is the Wavelength Equation?

The wavelength equation (λ = c / f) relates the wavelength of a wave to its frequency and the speed of propagation. In electromagnetic waves, c represents the speed of light in a vacuum (3×10^8 m/s).

2. How Does the Calculator Work?

The calculator uses the wavelength equation:

Where:

• \( \lambda \) — Wavelength (meters)
• \( c \) — Speed of light (3×10^8 m/s)
• \( f \) — Frequency (Hz)

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

3. Importance of Wavelength Calculation

Details: Calculating wavelength is essential in physics, engineering, and telecommunications for designing antennas, understanding wave propagation, and analyzing electromagnetic spectrum usage.

4. Using the Calculator

Tips: Enter frequency in Hertz (Hz). The value must be greater than 0. The calculator will output wavelength in meters.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between wavelength and frequency?
A: Wavelength and frequency have an inverse relationship. 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 other than vacuum. This calculator uses the vacuum speed of light (3×10^8 m/s).

Q3: What are typical frequency ranges for different applications?
A: Radio waves: 3 kHz-300 GHz, Microwaves: 300 MHz-300 GHz, Visible light: 430-750 THz, X-rays: 30 PHz-30 EHz.

Q4: Can this calculator be used for sound waves?
A: The same formula applies, but you would need to use the speed of sound (approximately 343 m/s in air) instead of the speed of light.

Q5: What are the units for wavelength?
A: Wavelength is typically measured in meters (m), but may also be expressed in nanometers (nm) for light waves or other units depending on the application.