   Chapter 14.8, Problem 14.4QQ

Chapter
Section
Textbook Problem

Which of the following frequencies are higher harmonics of a string with fundamental frequency of 150 Hz? (a) 200 Hz (b) 300 Hz (c) 400 Hz (d) 500 Hz (e) 600 Hz

To determine
Which of the following frequencies are higher harmonics of a fundamental frequency of 150 Hz.

Explanation

Given Info: Fundamental frequency of a string 150 Hz.

Formula to calculate the harmonic series is,

fn=nf1

• fn frequency of nth harmonic.
• n is the harmonic number.
• f1 is the fundamental frequency.

All the harmonics are positive integer multiples of fundamental frequencies.

So, n takes the positive integer values.

Substitute 2 for n and 150 Hz for f1 to find f2 .

f2=2(150HZ)=300Hz

Substitute 3 for n and 150 Hz for f1 to find f3

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