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Wavelength-Frequency Formula:
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The wavelength-frequency formula describes the relationship between the wavelength (λ) of a wave and its frequency (f), where the product of wavelength and frequency equals the speed of the wave. For electromagnetic waves, the speed is the speed of light (c = 3×10^8 m/s).
The calculator uses the wavelength-frequency formula:
Where:
Explanation: This fundamental equation shows that frequency and wavelength are inversely proportional - as wavelength increases, frequency decreases, and vice versa.
Details: This calculation is crucial in various fields including telecommunications, optics, radio astronomy, and quantum mechanics. It helps determine the properties of electromagnetic waves across different parts of the spectrum.
Tips: Enter the wavelength in meters. The value must be positive and greater than zero. The calculator will automatically compute the corresponding frequency.
Q1: What is the speed of light constant?
A: The speed of light in vacuum is exactly 299,792,458 meters per second, often approximated as 3×10^8 m/s for calculations.
Q2: Can this formula be used for other types of waves?
A: Yes, the formula applies to all waves, but the speed constant changes. For sound waves, use the speed of sound (approximately 343 m/s in air).
Q3: How are wavelength and frequency related?
A: They have an inverse relationship. When wavelength increases, frequency decreases, and when wavelength decreases, frequency increases.
Q4: What are typical wavelength ranges?
A: Radio waves can have wavelengths from kilometers to millimeters, visible light from 380-750 nanometers, and gamma rays have wavelengths smaller than atoms.
Q5: Why is this relationship important in technology?
A: It's fundamental for designing antennas, optical systems, wireless communication devices, and understanding the electromagnetic spectrum allocation.