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Wavelength Frequency Formula Calculator

Wavelength Formula:

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

Hz

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1. What is the Wavelength Frequency Formula?

The wavelength frequency formula describes the relationship between the wavelength (λ) of a wave, its frequency (f), and the speed of propagation (c). For electromagnetic waves in a vacuum, the speed of light is constant at approximately 3×10^8 m/s.

2. How Does the Calculator Work?

The calculator uses the wavelength formula:

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

Where:

Explanation: The formula shows that wavelength and frequency are inversely proportional - as frequency increases, wavelength decreases, and vice versa.

3. Importance of Wavelength Calculation

Details: Calculating wavelength is essential in various fields including telecommunications, optics, radio astronomy, and spectroscopy. It helps determine the properties of electromagnetic waves and their interactions with matter.

4. Using the Calculator

Tips: Enter frequency in Hertz (Hz). The value must be greater than 0. The calculator will automatically use the speed of light constant (3×10^8 m/s) for the calculation.

5. Frequently Asked Questions (FAQ)

Q1: Does this formula work for all types of waves?
A: The formula λ = c/f works for all waves, but the speed (c) varies depending on the medium. For electromagnetic waves in vacuum, c is 3×10^8 m/s.

Q2: What if I need to calculate frequency from wavelength?
A: You can rearrange the formula: f = c/λ. Simply divide the speed of light by the wavelength to get the frequency.

Q3: What are typical wavelength values for visible light?
A: Visible light wavelengths range from approximately 380 nm (violet) to 750 nm (red), which corresponds to frequencies of about 400-790 THz.

Q4: How does medium affect the calculation?
A: In different media, the speed of light changes, which affects wavelength. Frequency remains constant when light passes between media.

Q5: Can I use this for sound waves?
A: The formula works for sound waves too, but you would need to use the speed of sound in the specific medium (approximately 343 m/s in air at 20°C) instead of the speed of light.

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