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Frequency Calculator Using Wavelength

Frequency Formula:

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

m

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1. What is the Frequency Formula?

The frequency formula calculates the frequency of a wave from its wavelength using the relationship f = c/λ, where c is the speed of light (3×10^8 m/s) and λ is the wavelength in meters.

2. How Does the Calculator Work?

The calculator uses the frequency formula:

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

Where:

Explanation: The formula shows the inverse relationship between frequency and wavelength - as wavelength increases, frequency decreases, and vice versa.

3. Importance of Frequency Calculation

Details: Frequency calculation is essential in various fields including telecommunications, radio broadcasting, optics, and electromagnetic wave analysis. It helps determine the properties of waves and their behavior in different media.

4. Using the Calculator

Tips: Enter wavelength in meters. The value must be valid (wavelength > 0). The calculator will automatically compute the frequency using the speed of light constant.

5. Frequently Asked Questions (FAQ)

Q1: What is the speed of light value used in the calculation?
A: The calculator uses c = 3×10^8 m/s, which is the standard speed of light in vacuum.

Q2: Can this calculator be used for other types of waves?
A: While the formula is general, the speed value is specific to electromagnetic waves. For other wave types, you would need to use the appropriate speed constant for that medium.

Q3: What are typical wavelength values for different applications?
A: Radio waves have wavelengths from meters to kilometers, visible light has wavelengths around 400-700 nanometers, while gamma rays have wavelengths smaller than atoms.

Q4: How does frequency relate to energy?
A: For electromagnetic waves, energy is directly proportional to frequency (E = hf, where h is Planck's constant).

Q5: What if I need to calculate wavelength from frequency?
A: You can rearrange the formula to λ = c/f to calculate wavelength from frequency.

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