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Wavelength Formula:
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Wavelength (λ) is the distance between successive crests of a wave, especially points in a sound wave or electromagnetic wave. It is inversely proportional to frequency, with the speed of light (c) as the constant of proportionality.
The calculator uses the wavelength formula:
Where:
Explanation: The equation shows that as frequency increases, wavelength decreases, and vice versa, with the speed of light remaining constant.
Details: Calculating wavelength is essential in various fields including telecommunications, radio broadcasting, optics, and astronomy. It helps in designing antennas, optical systems, and understanding electromagnetic spectrum allocation.
Tips: Enter frequency in Hertz (Hz). The value must be valid (frequency > 0). The calculator will automatically use the speed of light constant (3×10⁸ m/s).
Q1: Why is the speed of light constant in this calculation?
A: In vacuum, the speed of light is a fundamental constant of nature (approximately 3×10⁸ m/s), which relates frequency and wavelength for all electromagnetic waves.
Q2: Does wavelength change in different media?
A: Yes, when light travels through different media, its speed changes, which affects wavelength while frequency remains constant.
Q3: What are typical wavelength ranges?
A: Radio waves have wavelengths from millimeters to kilometers, visible light from 380-750 nanometers, and gamma rays have wavelengths smaller than atoms.
Q4: How is wavelength related to energy?
A: Energy is inversely proportional to wavelength - shorter wavelengths correspond to higher energy photons.
Q5: Can this calculator be used for sound waves?
A: No, this calculator is specifically for electromagnetic waves. Sound waves use a different formula: λ = v/f, where v is the speed of sound in the medium.