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What Is The Formula To Calculate Wavelength Of Light

Wavelength Formula:

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

Hz
m/s

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1. What is the Wavelength Formula?

The wavelength formula calculates the distance between consecutive crests of a wave. For light waves, it relates the wavelength to the speed of light and frequency using the equation: λ = c / f, where λ is wavelength, c is the speed of light, and f is frequency.

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 frequency light has shorter wavelengths, and vice versa.

3. Importance of Wavelength Calculation

Details: Calculating wavelength is essential in optics, telecommunications, spectroscopy, and understanding the electromagnetic spectrum. Different wavelengths correspond to different colors of visible light and various types of electromagnetic radiation.

4. Using the Calculator

Tips: Enter frequency in Hertz (Hz) and speed of light in meters per second (m/s). The default speed of light is set to 300,000,000 m/s (3×10⁸ m/s). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the speed of light in vacuum?
A: The speed of light in vacuum is exactly 299,792,458 meters per second, often approximated as 3×10⁸ m/s for calculations.

Q2: How does wavelength relate to color?
A: In visible light, different wavelengths correspond to different colors: violet (~380-450 nm), blue (~450-495 nm), green (~495-570 nm), yellow (~570-590 nm), orange (~590-620 nm), and red (~620-750 nm).

Q3: What is the typical frequency range for visible light?
A: Visible light frequencies range from approximately 430 THz (red) to 750 THz (violet).

Q4: Does wavelength change in different media?
A: Yes, when light enters a different medium, its wavelength changes due to the change in speed, though the frequency remains constant.

Q5: What are common units for light wavelength?
A: Common units include meters (m), nanometers (nm, 10⁻⁹ m), and angstroms (Å, 10⁻¹⁰ m). Visible light is typically measured in nanometers.

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