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Frequency to Wavelength Calculator

Wavelength Equation:

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

Hz
m/s

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1. What is Wavelength?

Wavelength 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 directly proportional to the speed of the wave.

2. How Does the Calculator Work?

The calculator uses the wavelength equation:

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

Where:

Explanation: The equation shows that as frequency increases, wavelength decreases proportionally, and vice versa.

3. Importance of Wavelength Calculation

Details: Calculating wavelength is essential in fields like telecommunications, acoustics, and optics. It helps in designing antennas, understanding sound propagation, and analyzing light properties.

4. Using the Calculator

Tips: Enter frequency in Hz and wave speed in m/s. For electromagnetic waves in vacuum, the default speed of light (299,792,458 m/s) is pre-filled. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the relationship between frequency and wavelength?
A: They are inversely proportional - higher frequency means shorter wavelength, and vice versa, when wave speed is constant.

Q2: Does wavelength change in different media?
A: Yes, because wave speed changes in different media while frequency remains constant, causing wavelength to change.

Q3: What's a typical wavelength for visible light?
A: Approximately 380-750 nanometers (violet to red light in the visible spectrum).

Q4: How does wavelength affect antenna design?
A: Antennas are typically designed to be fractions (½, ¼) of the wavelength they're meant to transmit/receive.

Q5: What's the wavelength of a 100Hz sound wave in air?
A: About 3.43 meters (assuming speed of sound in air is 343 m/s at 20°C).

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