Question

If a string vibrates at the fundamental frequency of 528 Hz and also produces an overtone with a frequency of 1,056 Hz, this overtone is the

A. second harmonic.
B. third harmonic.
C. fourth harmonic.
D. first harmonic.

Answer 1

Step-by-step explanation:

Given that,

Fundamental frequency

Ff = 528 Hz

Overtone frequency

Fo = 1056 Hz

The expression for overtone is given as

Fo = n•Ff

Where n is the number of harmonics

Making n subject of formula

n = Fo / Ff

n = 1056 / 528

n = 2

Then, the number of harmonic is 2.

So, it is in it second harmonics which is the third overtone.

So the answer is A, second harmonics

Answer 2

528 x 2 is 1056.

As it is double the fundmental frequency it is a second harmonic