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Wavelength Formula:
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The wavelength formula (λ = v / f) calculates the wavelength of a wave by dividing its velocity (v) by its frequency (f). This fundamental physics equation applies to all types of waves, including sound waves, light waves, and water waves.
The calculator uses the wavelength formula:
Where:
Explanation: The formula shows the inverse relationship between frequency and wavelength - as frequency increases, wavelength decreases, and vice versa, when velocity remains constant.
Details: Calculating wavelength is essential in various fields including acoustics, optics, radio communications, and musical instrument design. It helps determine how waves will interact with their environment and with other waves.
Tips: Enter velocity in meters per second and frequency in Hertz. Both values must be positive numbers. For sound waves in air at room temperature, the speed is approximately 343 m/s.
Q1: What is the typical speed of sound in air?
A: The speed of sound in air at 20°C is approximately 343 meters per second, but it varies with temperature and air pressure.
Q2: How does wavelength relate to pitch in sound?
A: Shorter wavelengths correspond to higher frequencies, which we perceive as higher pitches. Longer wavelengths correspond to lower frequencies and lower pitches.
Q3: Can this formula be used for light waves?
A: Yes, the same formula applies to light waves, where v would be the speed of light (approximately 3×10⁸ m/s in vacuum).
Q4: What are common wavelength ranges for sound?
A: For audible sound (20Hz-20kHz) in air, wavelengths range from about 17 meters (20Hz) to 1.7 centimeters (20kHz).
Q5: Why does wavelength matter in antenna design?
A: Antennas are typically designed to be specific fractions of the wavelength they're intended to transmit or receive for optimal efficiency.