A complex tone with a fundamental frequency of 200 Hz has harmonics at what frequencies?

The fundamental frequency of a complex tone is the lowest frequency produced by the sound source, and it serves as the basis for calculating the harmonics of that tone. For a fundamental frequency of 200 Hz, the harmonics are integer multiples of that frequency.

The first harmonic is the fundamental frequency itself (200 Hz). The second harmonic is twice the fundamental frequency (400 Hz), the third harmonic is three times the fundamental frequency (600 Hz), and the fourth harmonic is four times the fundamental frequency (800 Hz). Therefore, the sequence of harmonics can be represented as follows:

• Second harmonic: 2 × 200 Hz = 400 Hz
• Third harmonic: 3 × 200 Hz = 600 Hz
• Fourth harmonic: 4 × 200 Hz = 800 Hz

This results in the harmonic frequencies of 400 Hz, 600 Hz, and 800 Hz, which match the frequencies identified in the correct answer. Understanding the relationship between the fundamental frequency and its harmonics is crucial for understanding how sound is structured in terms of frequency content.