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Wavelength Equation:
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Wavelength (λ) is the distance between two consecutive crests or troughs in a wave. It is a fundamental property of waves that relates to both frequency and period through the wave's velocity.
The calculator uses the wavelength equation:
Where:
Explanation: Since the period T is the reciprocal of frequency (T = 1/f), this equation can also be expressed as λ = v/f, showing the inverse relationship between wavelength and frequency.
Details: Calculating wavelength is essential in various fields including physics, engineering, telecommunications, and optics. It helps determine wave properties, design communication systems, and analyze wave behavior in different media.
Tips: Enter the wave velocity in meters per second and the period in seconds. Both values must be positive numbers. The calculator will compute the wavelength in meters.
Q1: What's the relationship between wavelength and frequency?
A: Wavelength and frequency are inversely proportional (λ = v/f). As frequency increases, wavelength decreases, and vice versa, when velocity is constant.
Q2: How does period relate to frequency?
A: Period (T) is the reciprocal of frequency (f), meaning T = 1/f. Period represents the time for one complete wave cycle.
Q3: Does wavelength change in different media?
A: Yes, wavelength changes when a wave moves between different media because the wave speed changes, even if the frequency remains constant.
Q4: What are typical wavelength values for different waves?
A: Radio waves have wavelengths from meters to kilometers, visible light from 380-750 nanometers, while gamma rays have wavelengths smaller than atoms.
Q5: Can this formula be used for all types of waves?
A: Yes, the formula λ = v × T applies to all wave types (mechanical, electromagnetic, sound) as long as you know the wave velocity and period.