Question

if the fundamental frequency of a vibrating string is 200 hz, what is the frequency of its third harmonic? a. 200 hz b. 800 hz c. 400 hz d. 600 hz

Explanation:

Step1: Recall the formula for harmonic frequency

The formula for the \(n\)th harmonic frequency \(f_n\) of a vibrating string is \(f_n = n\times f_1\), where \(f_1\) is the fundamental frequency.

Step2: Substitute the values

Given \(n = 3\) (for the third harmonic) and \(f_1=200\space Hz\). Then \(f_3=3\times200\space Hz\).

Answer:

\(600\space Hz\), so the answer is d.