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Wavelength Calculation Formula Physics

Wavelength Formula:

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

Hz

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1. What is the Wavelength Formula?

The wavelength formula (λ = c/f) calculates the wavelength of electromagnetic waves, where λ is wavelength, c is the speed of light (3×10⁸ m/s), and f is frequency. This fundamental physics equation relates these three important wave properties.

2. How Does the Calculator Work?

The calculator uses the wavelength formula:

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

Where:

Explanation: The formula shows that wavelength is inversely proportional to frequency - higher frequencies result in shorter wavelengths, and vice versa.

3. Importance of Wavelength Calculation

Details: Wavelength calculation is essential in various fields including telecommunications, optics, astronomy, and quantum mechanics. It helps determine wave properties, design antennas, analyze light spectra, and understand electromagnetic radiation behavior.

4. Using the Calculator

Tips: Enter frequency in Hertz (Hz). The value must be greater than 0. The calculator will compute the corresponding wavelength in meters using the speed of light constant.

5. Frequently Asked Questions (FAQ)

Q1: Why is the speed of light constant in this formula?
A: The speed of light in vacuum (c = 3×10⁸ m/s) is a fundamental physical constant that applies to all electromagnetic radiation regardless of frequency.

Q2: Can this formula be used for sound waves?
A: No, this specific formula is for electromagnetic waves. For sound waves, the formula is λ = v/f, where v is the speed of sound in the medium.

Q3: What are typical wavelength ranges?
A: Radio waves have wavelengths from meters to kilometers, visible light from 380-750 nanometers, and gamma rays have wavelengths smaller than atoms.

Q4: How does wavelength relate to energy?
A: Energy is inversely proportional to wavelength (E = hc/λ), meaning shorter wavelengths correspond to higher energy radiation.

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

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