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Frequency Equation:
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The fundamental relationship between frequency and wavelength is described by the equation f = c/λ, where f is frequency, c is the speed of light (3×10^8 m/s), and λ is wavelength. This equation applies to all electromagnetic waves.
The calculator uses the frequency equation:
Where:
Explanation: This equation shows that frequency and wavelength are inversely proportional - as wavelength increases, frequency decreases, and vice versa.
Details: Calculating frequency from wavelength is essential in various fields including telecommunications, radio astronomy, optics, and electromagnetic spectrum analysis. It helps determine the properties and behavior of electromagnetic waves.
Tips: Enter wavelength in meters. The value must be valid (wavelength > 0). The calculator will automatically use the speed of light constant (3×10^8 m/s) for the calculation.
Q1: What is the speed of light constant used in the calculation?
A: The calculator uses c = 3×10^8 m/s, which is the approximate speed of light in a vacuum.
Q2: Can I use different units for wavelength?
A: The calculator requires wavelength input in meters. Convert other units to meters first (1 nm = 10^-9 m, 1 μm = 10^-6 m, etc.).
Q3: What frequency ranges correspond to different electromagnetic waves?
A: Radio waves: 3 Hz-300 GHz, Microwaves: 300 MHz-300 GHz, Infrared: 300 GHz-430 THz, Visible light: 430-750 THz, UV: 750 THz-30 PHz, X-rays: 30 PHz-30 EHz, Gamma rays: >30 EHz.
Q4: Why is this relationship important in telecommunications?
A: It helps determine the appropriate antenna size and design for specific frequency bands, as antenna size is typically related to wavelength.
Q5: Does the speed of light change in different media?
A: Yes, the speed of light decreases in different media, which affects the wavelength but not the frequency of electromagnetic waves.