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How to Calculate the Wavelength

Wavelength Formula:

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

m/s
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 directly proportional to wave velocity.

2. How Does the Calculator Work?

The calculator uses the wavelength formula:

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

Where:

Explanation: The formula shows that wavelength increases with higher velocity and decreases with higher frequency.

3. Importance of Wavelength Calculation

Details: Wavelength calculations are essential in physics, engineering, and telecommunications for designing antennas, analyzing wave behavior, and understanding electromagnetic spectrum properties.

4. Using the Calculator

Tips: Enter velocity in m/s and frequency in Hz. Both values must be positive numbers. The calculator will compute the wavelength in meters.

5. Frequently Asked Questions (FAQ)

Q1: What's the wavelength of visible light?
A: Visible light ranges from about 380 nm (violet) to 700 nm (red), corresponding to frequencies of about 790 THz to 430 THz.

Q2: How does wavelength relate to energy?
A: For electromagnetic waves, energy is inversely proportional to wavelength (E = hc/λ, where h is Planck's constant and c is light speed).

Q3: What's the speed of sound used for audio calculations?
A: Typically 343 m/s in air at 20°C, but it varies with temperature and medium.

Q4: Can this calculator be used for water waves?
A: Yes, as long as you know the wave's velocity and frequency in the medium.

Q5: What if frequency is zero?
A: The calculation is undefined (division by zero) as a wave cannot exist with zero frequency.

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