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Wavelength Calculator

Select the parameter and enter the frequency of the wave to calculate the wavelength along with the stepwise calculations.

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The wavelength calculator is designed to evaluate the wavelength, wave velocity, and frequency of a wave. You can calculate any disturbance in a wave passing through a certain medium by using the calculator.

What Is Wavelength In Physics?

“The wavelength is defined as the distance over which the entire shape of the wave repeats. This repetition happens after a fixed interval of time”

Amplitude and time graph

Wavelength Formula:

The following equation may assist you in calculating the wavelength of a wave without trouble:

λ = v/f

Where;

λ = wavelength,

v = velocity of the wave,

f = frequency of the wave.

Wave Number:

The number of waves per unit length is termed a wave number. It is always reciprocal to that of the wavelength. Every wave has its own specific wave number.

Wave Number

How To Calculate Wavelength?

In order to determine the frequency-to-wavelength relationship, let us solve a few examples below:

Example # 01:

Determine the wavelength of the light in space bearing a frequency of 3 Hz.

Solution:

The speed of light in a vacuum is given as:

c = 300000000 m / s

Using the wavelength frequency equation, we have:

λ = v/f

λ = 300000000 / 3

λ = 100000000 m

Working of Calculator:

This requires a few inputs to calculate results with 100% accuracy. Let’s have a look at these!

Input:

  • Select the parameter you wish to calculate
  • Input all the values against each parameter
  • Click ‘Calculate’

Output:

  • Wavelength and wave velocity
  • Wave frequency and wave number
  • Step-by-step frequency wavelength calculation

FAQ’s:

What Is Meant By The Amplitude of a Wave?

Amplitude is the maximum distance covered by a wave from its equilibrium position.

What Is a Longitudinal Wave?

A wave in which the vibration of the medium is in the direction of the wave is called a longitudinal wave.

What Is The Direction of The Transverse Wave?

The direction of a transverse wave is always perpendicular to that of the medium in which it propagates.

What Are Crests And Troughs?

Crests are the highest point of transverse waves whereas troughs are the lowest points. For a longitudinal wave, the rarefactions and compressions are equal to crests and troughs for transverse waves.

References:

From the source Wikipedia: Sinusoidal waves, Standing waves, General media, Wave packets, Interference and diffraction, Single-slit diffraction, Diffraction-limited resolution, Subwavelength, Angular wavelength From the source Lumen Learning: AMPLITUDE AND WAVELENGTH, LIGHT WAVES, SOUND WAVES. From the source Khan Academy: Standing waves on strings, Wavelength and frequency for a standing wave, Harmonics.

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