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Wavelength Formula

Wavelength is defined as the difference between two successive crust or trough. It is denoted by $\lambda$.

Wavelength Formula for any wave given by
Where, v is the wave speed and
f is the frequency taken.

The Formula for wavelength for light wave is given by
Where, c is the velocity of light,
f is the frequency of the wave.

The wave speed formula is given by

Wavelength is expressed in m, velocity of wave is expressed in m/s, frequency is expressed in Hz. Wavelength formula is used to find wavelength or frequency if any of these parameters are given.

Related Calculators
Wavelength Calculator De Broglie Wavelength Calculator
sound frequency wavelength calculator Wavelength to Frequency Calculator
 

Wavelength Problems

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Below are some problems based on wavelength which may be helpful for you.

Solved Examples

Question 1:
A harmonic wave is traveling along a rope. The source generating the waves completes 50 to and fro motions in 25 s. A trough travels 2m in 4s. calculate the wavelength of the wave?

Solution:
 
Time taken for 50 oscillations = 25 s
Time for 1 oscillation, t = $\frac{25}{50}$ = 0.5 s
Frequency of 1 oscillation, f = $\frac{1}{0.5}$ = 2 Hz
The wave travels a distance of 2m in 4s. The wave speed is given by v = $\frac{2}{4}$ = 0.5 ms-1
The wavelength is given by $\lambda$ = $\frac{v}{f}$
                                                       = $\frac{0.5}{2}$
                                                       = 0.25 m.

 

Question 2: The frequency of a tunning fork is 256 Hz and sound travels a distance of 25 m while tunning fork executes 20 vibrations. Calculate the wavelength of sound?
Solution:
 
Frequency f = 256 Hz,
Distance d = 25 m,
No of vibrations/ oscillations = 20
Wavelength $\lambda$ = $\frac{Distance}{No of oscillations}$
                                  = $\frac{25}{20}$
                                  = 1.25 ms-1.

 

More topics in Wavelength Formula
Wavelength to Frequency Formula De Broglie Wavelength Formula
Brewster's Law Uniform Circular Motion
Diffraction Grating Formula Wave Formula
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