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Wavelength Calculator

Wavelength Formula:

\[ \lambda = \frac{c}{f} \]

m/s
Hz

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1. What is Wavelength?

Wavelength (λ) is the distance between successive crests of a wave, especially points in a sound wave or electromagnetic wave. It is a fundamental property of waves and is inversely proportional to frequency.

2. How Does the Calculator Work?

The calculator uses the wavelength formula:

\[ \lambda = \frac{c}{f} \]

Where:

Explanation: The formula shows that wavelength decreases as frequency increases, and vice versa, for a constant wave speed.

3. Importance of Wavelength Calculation

Details: Wavelength calculation is crucial in various fields including telecommunications, optics, acoustics, and electromagnetic spectrum analysis. It helps determine wave properties and behavior in different media.

4. Using the Calculator

Tips: Enter the speed of wave propagation (default is speed of light in vacuum) and frequency. Both values must be positive numbers. The calculator will compute the wavelength in meters.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between wavelength and frequency?
A: Wavelength and frequency are inversely proportional when the wave speed is constant. Higher frequency means shorter wavelength, and vice versa.

Q2: Does wavelength change in different media?
A: Yes, wavelength changes when a wave moves from one medium to another because the speed of propagation changes, even though frequency remains constant.

Q3: What are typical wavelength ranges?
A: Wavelengths vary greatly: radio waves (km to m), microwaves (cm to mm), visible light (380-750 nm), X-rays (0.01-10 nm).

Q4: How is wavelength measured experimentally?
A: Various methods include interference patterns, diffraction gratings, or using known frequencies and measuring wave speed in the medium.

Q5: Can this calculator be used for sound waves?
A: Yes, simply replace the speed of light with the speed of sound in your medium (approximately 343 m/s in air at 20°C).

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