1. What is Wavelength?

Wavelength (λ) is the distance between successive crests of a wave, especially points in a sound wave or electromagnetic wave. It is an important characteristic of any wave and is inversely proportional to frequency.

2. How Does the Calculator Work?

The calculator uses the wavelength formula:

Where:

• \( \lambda \) — Wavelength (meters)
• \( v \) — Velocity of the wave (meters per second)
• \( f \) — Frequency of the wave (Hertz)

Explanation: The formula shows that wavelength is equal to the velocity of the wave divided by its frequency. Higher frequency waves have shorter wavelengths, while lower frequency waves have longer wavelengths.

3. Importance of Wavelength Calculation

Details: Calculating wavelength is essential in various fields including acoustics, optics, radio communications, and physics. It helps determine how waves will interact with objects and propagate through different media.

4. Using the Calculator

Tips: Enter the velocity of the sound wave in m/s and the frequency in Hz. For sound in air at room temperature, the velocity is approximately 343 m/s. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

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

Q2: How does temperature affect sound velocity?
A: Sound travels faster in warmer air. The velocity increases by approximately 0.6 m/s for each degree Celsius increase in temperature.

Q3: What is the relationship between frequency and wavelength?
A: Frequency and wavelength are inversely proportional. As frequency increases, wavelength decreases, and vice versa.

Q4: Can this calculator be used for light waves?
A: Yes, the same formula applies, but you would use the speed of light (approximately 3×10⁸ m/s) instead of the speed of sound.

Q5: What is the range of audible sound wavelengths?
A: For humans (hearing range 20 Hz to 20,000 Hz), sound wavelengths in air range from about 17 meters to 1.7 centimeters.