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Wavelength Calculator

Wavelength Formula:

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

Hz

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1. What is Wavelength?

Wavelength (λ) is the distance between successive crests of a wave, especially points in a sound wave or electromagnetic wave. It is a fundamental property of waves and is inversely proportional to frequency.

2. How Does the Calculator Work?

The calculator uses the wavelength formula:

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

Where:

Explanation: The formula shows that wavelength decreases as frequency increases, and vice versa, for electromagnetic waves traveling at the speed of light.

3. Importance of Wavelength Calculation

Details: Wavelength calculation is crucial in various fields including telecommunications, optics, radio broadcasting, and physics research. 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 valid (frequency > 0). The calculator uses the speed of light constant (3×10⁸ m/s) for calculations.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between wavelength and frequency?
A: Wavelength and frequency are inversely proportional. As frequency increases, wavelength decreases, and vice versa, when the wave speed is constant.

Q2: Does this formula work for all types of waves?
A: While the general concept applies to all waves, this specific formula with the speed of light constant applies only to electromagnetic waves in vacuum.

Q3: What are typical wavelength ranges?
A: Wavelengths vary greatly: radio waves (1m-100km), microwaves (1mm-1m), infrared (700nm-1mm), visible light (400-700nm), ultraviolet (10-400nm), X-rays (0.01-10nm), gamma rays (<0.01nm).

Q4: How does medium affect wavelength?
A: When light enters a different medium, its speed changes, which affects wavelength while frequency remains constant.

Q5: Why is the speed of light used in this calculation?
A: For electromagnetic waves, the speed in vacuum is constant at approximately 3×10⁸ m/s, making it the standard reference for wavelength calculations.

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