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Wavelength Equation:
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The wavelength equation calculates the distance between successive crests of a wave using the speed of light and frequency. It's fundamental in physics, particularly in wave mechanics and electromagnetic theory.
The calculator uses the wavelength equation:
Where:
Explanation: The equation shows the inverse relationship between wavelength and frequency - as frequency increases, wavelength decreases, and vice versa.
Details: Accurate wavelength calculation is crucial for various applications including radio communications, optics, spectroscopy, and understanding electromagnetic wave propagation through different media.
Tips: Enter frequency in Hertz (Hz). The value must be valid (frequency > 0). The calculator uses the standard speed of light value of 3×10^8 m/s.
Q1: What is the relationship between wavelength and frequency?
A: Wavelength and frequency have an inverse relationship. As frequency increases, wavelength decreases, and vice versa, when the wave speed is constant.
Q2: Why is the speed of light constant in this equation?
A: In vacuum, the speed of light is a fundamental constant (approximately 3×10^8 m/s) for all electromagnetic waves, regardless of their frequency or wavelength.
Q3: Can this equation be used for other types of waves?
A: Yes, the general form λ = v/f applies to all waves, where v is the wave velocity. For electromagnetic waves in vacuum, v equals c.
Q4: What are typical wavelength ranges for different electromagnetic waves?
A: Radio waves: 1mm-100km, Microwaves: 1mm-1m, Infrared: 700nm-1mm, Visible light: 400-700nm, UV: 10-400nm, X-rays: 0.01-10nm, Gamma rays: <0.01nm.
Q5: How does wavelength affect wave behavior?
A: Wavelength determines how waves interact with objects. Longer wavelengths diffract more easily around obstacles, while shorter wavelengths provide better resolution in imaging.