   # . The frequency of the highest note on the piano is 4.186 Hz. (a) How many harmonics of that note can we hear? (b) How many harmonics of the note one octave below it can we hear? ### Inquiry into Physics

8th Edition
Ostdiek
Publisher: Cengage
ISBN: 9781337515863

#### Solutions

Chapter
Section ### Inquiry into Physics

8th Edition
Ostdiek
Publisher: Cengage
ISBN: 9781337515863
Chapter 6, Problem 26P
Textbook Problem
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## . The frequency of the highest note on the piano is 4.186 Hz. (a) How many harmonics of that note can we hear? (b) How many harmonics of the note one octave below it can we hear?

To determine

(a)

The number of notes which can we hear.

### Explanation of Solution

Given:

• The frequency of highest note is 4186Hz.

Formula used:

The frequency of the nth harmonic is n times the frequency of the first harmonic.

So, formula for nth harmonic is,

fn=nf1

Here, fn is the frequency of nth harmonic and f1 is the frequency of first harmonic.

Calculation:

Find the frequency of first a few note which comes in the audible range.

The first note:

f1=4186Hz

The second note:

f2=2×4186Hz=8372Hz

To determine

(b)

The number of harmonic notes can we hear.

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