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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.