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Wavelength Equation:
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The wavelength equation (λ = v / f) calculates the distance between consecutive corresponding points of the same phase on a wave, such as crest-to-crest or trough-to-trough. It's a fundamental relationship in wave physics that connects wavelength, wave velocity, and frequency.
The calculator uses the wavelength equation:
Where:
Explanation: The equation shows that wavelength is inversely proportional to frequency - higher frequency waves have shorter wavelengths when velocity is constant.
Details: Calculating wavelength is essential in various fields including audio engineering, radio communications, optics, and acoustics. It helps in designing antenna systems, audio equipment, and understanding wave behavior in different media.
Tips: Enter wave velocity in m/s and frequency in Hz. For sound waves in air at room temperature, use approximately 343 m/s. All values must be valid (velocity > 0, frequency > 0).
Q1: What is the speed of sound in air?
A: Approximately 343 m/s at 20°C (68°F). The speed varies with temperature, humidity, and altitude.
Q2: How does wavelength relate to pitch in sound?
A: Higher frequency (pitch) sounds have shorter wavelengths. Lower frequency sounds have longer wavelengths.
Q3: What is the typical wavelength range for audible sound?
A: For humans (20 Hz to 20,000 Hz), wavelengths range from about 17 meters (20 Hz) to 1.7 cm (20,000 Hz) in air.
Q4: Does wavelength change when sound travels through different media?
A: Yes, wavelength changes with wave velocity. When sound enters a different medium, both speed and wavelength change while frequency remains constant.
Q5: How is wavelength important in antenna design?
A: Antennas are often designed to be specific fractions (½, ¼) of the wavelength for optimal transmission and reception efficiency.