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The wave formula for the velocity of sound is given by,

V = f λ

Where,

v = velocity of the wave,

f = frequency of the wave,

λ = wavelength.

Solved Examples

Example 1

A light wave travels with a wavelength of 700 nm. Determine its frequency.

Solution:

Given:

Wavelength λ = 700 nm,

Velocity of light v = 3 x 108 m/s

The frequency is calculated by,

f = v / λ

  = 3×108 / 700×10-9

f = 4.2 ×1014  Hz.

Therefore, the frequency of the light wave is 4.2 ×1014  Hz

Example 2: A sound wave has a wavelength of 2.5 mm. Determine its frequency.

Solution:

Given:

Wavelength λ = 2.5 cm,

Velocity of sound v = 343.2 m/s.

The frequency is calculated by,

f = v / λ

f = 343.2 / 2.5×10-2

f = 13.72 kHz.

Therefore, the frequency of the sound wave is 13.72 kHz.

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