1. What is the Wavelength Equation?

The wavelength equation (λ = c / f) calculates the wavelength of electromagnetic waves from frequency, where c is the speed of light (3×10^8 m/s) and f is the frequency in hertz (Hz).

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 the inverse relationship between wavelength and frequency - higher frequencies result in shorter wavelengths.

3. Importance of Wavelength Calculation

Details: Wavelength calculation is essential in physics, telecommunications, optics, and electromagnetic theory for understanding wave properties and designing wave-based systems.

4. Using the Calculator

Tips: Enter frequency in hertz (Hz). The value must be valid (frequency > 0). The calculator will compute the corresponding wavelength in meters.

5. Frequently Asked Questions (FAQ)

Q1: What is the speed of light constant?
A: The speed of light in vacuum is approximately 3×10^8 meters per second (299,792,458 m/s exactly).

Q2: How does wavelength relate to frequency?
A: Wavelength and frequency are inversely proportional - as frequency increases, wavelength decreases, and vice versa.

Q3: What are typical wavelength ranges?
A: Radio waves have long wavelengths (meters to kilometers), while visible light has short wavelengths (400-700 nanometers).

Q4: Can this equation be used for sound waves?
A: No, this specific equation is for electromagnetic waves. For sound waves, use λ = v / f, where v is the speed of sound.

Q5: What are practical applications?
A: Antenna design, optical systems, radio communications, spectroscopy, and many other fields requiring wave analysis.