1. What is the Wavelength Equation?

The wavelength equation (λ = v / f) describes the relationship between wavelength, wave velocity, and frequency. It is a fundamental equation in wave physics that applies to various types of waves including sound waves, light waves, and water waves.

2. How Does the Calculator Work?

The calculator uses the wavelength equation:

Where:

• \( \lambda \) — Wavelength (meters)
• \( v \) — Wave velocity (meters per second)
• \( f \) — Frequency (Hertz)

Explanation: The equation shows that wavelength is inversely proportional to frequency - higher frequency waves have shorter wavelengths when velocity is constant.

3. Importance of Wavelength Calculation

Details: Calculating wavelength is essential in various fields including telecommunications, acoustics, optics, and seismology. It helps determine wave properties and behavior in different media.

4. Using the Calculator

Tips: Enter wave velocity in m/s and frequency in Hz. Both values must be positive numbers greater than zero for accurate calculation.

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 when wave velocity remains constant.

Q2: Does wavelength change when a wave enters a different medium?
A: Yes, when a wave enters a different medium, its velocity changes, which affects the wavelength while frequency remains constant.

Q3: What are typical wavelength ranges for different wave types?
A: Visible light: 380-750 nm, Sound waves: 17 mm-17 m (for 20-20,000 Hz in air), Radio waves: 1 mm-100 km.

Q4: How does temperature affect wavelength?
A: Temperature affects wave velocity (especially for sound waves), which in turn affects wavelength when frequency is constant.

Q5: Can this equation be used for all types of waves?
A: Yes, the fundamental relationship λ = v / f applies to all wave types, though the velocity calculation may differ based on wave type and medium.