1. What is the Wavelength Formula?

The wavelength formula (λ = v / f) calculates the distance between consecutive crests of a wave, where λ is wavelength, v is wave velocity, and f is frequency. It's fundamental in physics, particularly in acoustics and electromagnetics.

2. How Does the Calculator Work?

The calculator uses the wavelength formula:

Where:

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

Explanation: The formula shows the inverse relationship between frequency and wavelength - as frequency increases, wavelength decreases when velocity is constant.

3. Importance of Wavelength Calculation

Details: Wavelength calculation is essential in various fields including audio engineering, radio communications, optics, and medical imaging. 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. For sound waves in air at room temperature, velocity is approximately 343 m/s.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical speed of sound in air?
A: At 20°C (68°F), sound travels at approximately 343 meters per second in dry air.

Q2: How does temperature affect sound wavelength?
A: Higher temperatures increase sound velocity, which increases wavelength for a given frequency.

Q3: What's the relationship between frequency and wavelength?
A: They have an inverse relationship. When frequency doubles, wavelength halves if velocity remains constant.

Q4: Can this formula be used for light waves?
A: Yes, for light in a vacuum, velocity is constant (speed of light, c = 3×10⁸ m/s), so λ = c / f.

Q5: How does the medium affect wave velocity?
A: Wave velocity changes in different media. Sound travels faster in solids than liquids, and faster in liquids than gases.