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How To Calculate Wavelength From Hz

Wavelength Formula:

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

Hz
m/s

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1. What is Wavelength Calculation?

Definition: This calculator determines the wavelength of a wave based on its frequency and propagation speed.

Purpose: Essential for physics, radio communications, acoustics, and any field dealing with wave propagation.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: Wavelength is inversely proportional to frequency - higher frequencies have shorter wavelengths.

3. Importance of Wavelength Calculation

Details: Critical for antenna design, optical systems, audio engineering, and understanding electromagnetic spectrum allocations.

4. Using the Calculator

Tips: Enter frequency in Hz and wave speed in m/s (default 3×10⁸ for light). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is the speed of light default value?
A: For electromagnetic waves (light, radio), the speed in vacuum is constant at approximately 3×10⁸ m/s.

Q2: How does medium affect the calculation?
A: In different media (water, glass), wave speed decreases, so you must use the appropriate speed for that medium.

Q3: What units should I use?
A: Frequency must be in Hz (1/s), speed in m/s, resulting wavelength is in meters.

Q4: Can I calculate frequency from wavelength?
A: Yes, simply rearrange the formula: \( f = \frac{c}{\lambda} \).

Q5: What's a typical radio frequency wavelength?
A: For FM radio at 100 MHz: λ = 3×10⁸/10⁸ = 3 meters.

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