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Calculate Wavelength Given Frequency

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 inversely proportional to frequency and is a fundamental property of wave phenomena.

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 essential in various fields including telecommunications, radio broadcasting, optics, 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 positive and greater than zero. The calculator will compute the corresponding wavelength in meters.

5. Frequently Asked Questions (FAQ)

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

Q2: Why is the speed of light used in this calculation?
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 sound waves?
A: No, for sound waves you would use λ = v/f, where v is the speed of sound in the specific medium (approximately 343 m/s in air at 20°C).

Q4: What are typical wavelength ranges?
A: Radio waves: 1mm-100km, Microwaves: 1mm-1m, Infrared: 700nm-1mm, Visible light: 380-750nm, UV: 10-380nm, X-rays: 0.01-10nm, Gamma rays: <0.01nm.

Q5: How does wavelength affect wave behavior?
A: Wavelength determines how waves interact with objects. Longer wavelengths diffract around obstacles more easily, while shorter wavelengths provide better resolution in imaging systems.

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