1. What is the Frequency-Wavelength Equation?

The frequency-wavelength equation describes the fundamental relationship between the frequency and wavelength of electromagnetic waves. It states that frequency (f) equals the speed of light (c) divided by wavelength (λ).

2. How Does the Calculator Work?

The calculator uses the frequency-wavelength equation:

Where:

• \( f \) — Frequency (Hz)
• \( c \) — Speed of light (3×10⁸ m/s)
• \( \lambda \) — Wavelength (m)

Explanation: This equation shows the inverse relationship between frequency and wavelength - as wavelength increases, frequency decreases, and vice versa.

3. Importance of Frequency Calculation

Details: Calculating frequency from wavelength is essential in various fields including telecommunications, optics, radio astronomy, and spectroscopy. It helps determine the energy and properties of electromagnetic waves.

4. Using the Calculator

Tips: Enter wavelength in meters and speed of light in m/s (default is 300,000,000 m/s). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the speed of light in vacuum?
A: The speed of light in vacuum is exactly 299,792,458 m/s, though 3×10⁸ m/s is commonly used for calculations.

Q2: How does wavelength affect frequency?
A: Wavelength and frequency have an inverse relationship. Longer wavelengths correspond to lower frequencies, and shorter wavelengths correspond to higher frequencies.

Q3: What are typical wavelength ranges?
A: Wavelengths range from picometers (gamma rays) to kilometers (radio waves), corresponding to frequencies from exahertz to kilohertz.

Q4: Does this equation apply to all waves?
A: While the form is similar, the equation applies specifically to electromagnetic waves. For other wave types, the speed value would differ.

Q5: Why is frequency measured in Hertz?
A: Hertz (Hz) is the SI unit for frequency, representing cycles per second, named after physicist Heinrich Hertz.