Question on Frequencies of Sound Harmonics given Fundamental Frequency

Waves and Sounds is one of the basic concept in Physics which deals with wavelength, frequency and velocity of waves and sounds under uniform motion. Initial Frequency generated by any instrument is called as fundamental frequency and sound harmonics.

Topic : Frequencies of successisive Sound Harmonics

In the problem below, an instrument vibrates to produce sound harmonics and it is all about how to find out frequency of those sound harmonics.

Question : If a violin string vibrates at 440 Hz as its fundamental frequency, what are the frequencies of the first four harmonics?

Solution :

A violin is a both ends fixed, and so successive harmonics are simply multiples of the fundamental:
Therefore, f₁ = 440Hz (fundamental frequency)
f₂ = 2f₁ = 2 x 440 = 880 Hz
f₃ = 3f₁ = 3 x 440 = 1320 Hz
f₄ = 4f₁ = 4 x 440 = 1760 Hz


For more explanations related to the concept can be found in physics help or science help.