Question

If a violin string vibrates at 248 Hz as its fundamental frequency, what are the frequencies of the first four harmonics?

Answer 1

The frequencies of the first four harmonics are 248 Hz, 496 Hz, 744 Hz, and 992 Hz

Step-by-step explanation:

Given;

fundamental frequency, f₀ = 248 Hz

Frequency of the nth harmonic = n x fundamental frequency

First harmonic, f₁ = 1 x f₀ = 248 Hz

Second harmonic;

2f₀ = 2 x 248 Hz = 496 Hz

Third harmonic

3f₀ = 3 x 248 Hz = 744 Hz

Fourth harmonic

4f₀ = 4 x 248 Hz = 992 Hz

Therefore, the frequencies of the first four harmonics are 248 Hz, 496 Hz, 744 Hz, and 992 Hz