The Frequencies of Violin Harmonics

What are the frequencies of the first four harmonics of a violin string vibrating at 217 Hz as its fundamental frequency?

a) 434 Hz, 651 Hz, 868 Hz, 1085 Hz

b) 217 Hz, 434 Hz, 651 Hz, 868 Hz

c) 217 Hz, 434 Hz, 651 Hz, 1302 Hz

d) 217 Hz, 434 Hz, 868 Hz, 1085 Hz

Answer:

The frequencies of the first four harmonics of a violin string vibrating at 217 Hz as its fundamental frequency are 217 Hz, 434 Hz, 651 Hz, and 868 Hz.

Explanation:

The frequencies of the first four harmonics of a violin string vibrating at 217 Hz as its fundamental frequency can be calculated using the formula fn = nf1, where fn is the frequency of the nth harmonic and f1 is the fundamental frequency.

So, the frequencies of the first four harmonics are:

1. 1 * 217 Hz = 217 Hz
2. 2 * 217 Hz = 434 Hz
3. 3 * 217 Hz = 651 Hz
4. 4 * 217 Hz = 868 Hz