What is the number of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to 1.00×104 Hz?
To determine the number of the highest harmonic that could be heard by a person capable of hearing frequencies up to 1.00x10^4 Hz, we need to understand the concept of harmonics.
Harmonics are whole number multiples of the fundamental frequency. For example, the second harmonic is twice the frequency of the fundamental, the third harmonic is three times the frequency of the fundamental, and so on.
To find the highest harmonic audible to a person, we can divide the maximum frequency the person can hear by the fundamental frequency. In this case, the fundamental frequency is the frequency of the first harmonic, which is equal to the maximum frequency the person can hear.
So, the number of the highest harmonic is:
Highest Harmonic = Max Frequency / Fundamental Frequency
In this case, the maximum frequency the person can hear is 1.00x10^4 Hz. Therefore:
Highest Harmonic = 1.00x10^4 Hz / 1.00x10^4 Hz = 1
Hence, the highest harmonic audible to a person who can hear frequencies up to 1.00x10^4 Hz is the first harmonic, which is itself at the fundamental frequency.