Question

Problem 5

Answer 1

Given information

Given:

The octave is defined as the distance between one musical pitch and another musical pitch with a frequency twice that of the first.

Formula use in this question:

In terms of its intensity  , the loudness level of sound   is defined as:

 

Where is the intensity of the specified reference level and is taken on base-  .

In music, an octave higher doubles the frequency.

 

The amplitude of a sound wave is calculated as follows:

 

When the amplitude is constant  , the  intensity is proportional to the square of the frequency  , i.e.

 

 

Step-by-step explanation

Step 1.

Part (a)

Because the musical note is two octaves higher than the second note, and one octave higher in music equals doubling of frequency, two octaves higher indicates the new musical note's frequency is four times that of the second note.

 

 

Part (b)

When a musical note is raised two octaves, it merely signifies that the frequency has been doubled, not that the loudness of the music has changed. As a result, there will be no influence on the amplitude.