if the fundamental frequency of a certain string is 84 hz, what is the frequency of the second harmonic? 42 hz 84 hz 126 hz 168 hz
Fundamental frequency, f₀ = 84 Hz
Second harmonic is 2f₀ = 2* 84 Hz = 168 Hz
Answer: The frequency of the second harmonics is 168 Hz.
Explanation:
Fundamental frequency is the frequency associated with the ground state energy level. It is denoted by \(f_0\)
Second harmonic frequency is the frequency associated with the second energy level where n = 2. It is denoted by \(f_1\)
The relationship between fundamental and second harmonic frequency is:
\(f_1=2f_0\)
We are given:
\(f_0=84Hz\)
Putting value in above relationship, we get:
\(f_1=2\times 84=168Hz\)
Hence, the frequency of the second harmonics is 168 Hz.