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Frequency Formula:
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The fundamental relationship between frequency (f), wavelength (λ), and the speed of light (c) is described by the equation f = c/λ. This equation is crucial in wave physics, particularly in electromagnetic wave theory where c is approximately 3×10^8 m/s in vacuum.
The calculator uses the frequency formula:
Where:
Explanation: The frequency of a wave is inversely proportional to its wavelength when the speed remains constant. As wavelength increases, frequency decreases, and vice versa.
Details: Calculating frequency from wavelength is essential in various fields including telecommunications, optics, astronomy, and quantum mechanics. It helps determine the energy of photons (E = hf) and is fundamental to understanding electromagnetic spectrum properties.
Tips: Enter wavelength in meters and speed of light in m/s (default is 300,000,000 m/s for vacuum). For other media, use the appropriate speed value for that medium.
Q1: Why is the speed of light constant in vacuum?
A: The speed of light in vacuum is a fundamental physical constant (approximately 3×10^8 m/s) and is the maximum speed at which all energy, matter, and information in the universe can travel.
Q2: How does frequency relate to energy?
A: According to Planck's equation (E = hf), the energy of a photon is directly proportional to its frequency, where h is Planck's constant (6.626×10^-34 J·s).
Q3: What are typical wavelength ranges for visible light?
A: Visible light wavelengths range from approximately 380 nm (violet) to 750 nm (red), corresponding to frequencies of about 400-790 THz.
Q4: How does the speed of light change in different media?
A: Light travels slower in materials than in vacuum. The ratio of the speed in vacuum to speed in a medium is called the refractive index (n = c/v).
Q5: Can this formula be used for other types of waves?
A: Yes, the formula f = v/λ applies to all types of waves (sound, water, etc.) where v is the wave speed in that particular medium.