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Frequency Calculator Using Wavelength Formula

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 and the speed of light. It is a fundamental equation in physics and electromagnetic theory.

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 quantum mechanics. It helps determine the energy of electromagnetic 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 use the speed of light constant (3×10⁸ m/s) for the calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between frequency and wavelength?
A: Frequency and wavelength have an inverse relationship. As frequency increases, wavelength decreases, and vice versa, when the speed of wave propagation is constant.

Q2: Why is the speed of light used in this formula?
A: For electromagnetic waves (including light, radio waves, etc.), the speed of propagation in vacuum is constant at approximately 3×10⁸ m/s.

Q3: Can this formula be used for other types of waves?
A: Yes, the general formula f = v/λ applies to all waves, where v is the wave velocity. For electromagnetic waves in vacuum, v = c.

Q4: What are typical frequency ranges for different applications?
A: Radio waves: 3 kHz-300 GHz, Microwaves: 300 MHz-300 GHz, Infrared: 300 GHz-430 THz, Visible light: 430-750 THz, UV: 750 THz-30 PHz.

Q5: How does frequency relate to energy?
A: For electromagnetic waves, energy is directly proportional to frequency (E = hf, where h is Planck's constant). Higher frequency waves carry more energy.

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