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# If the fundamental frequency of a guitar string is 220 Hz, ISBN: 9780321909107 29

## Solution for problem 35E Chapter 21

Conceptual Physics | 12th Edition

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Problem 35E

If the fundamental frequency of a guitar string is 220 Hz, what is the frequency of the second harmonic? Of the third harmonic?

Step-by-Step Solution:

Solution 35E Step 1: th Frequency of n harmonics of a vibrating string can be found by using the mathematical expression, n L = 2 n Where, L - Length of the string n - Order of harmonics th n Wavelength of the n harmonics Rearranging this equation we get, 2L n n ---------------- (1) We know that, wavelength of the string and frequency of the string is related by the equation, v = f -------------------- (2) Where, v - speed of sound f - frequency of the string Rearranging this equation we get, f = v/ -------------------------- (3)

Step 2 of 2

##### ISBN: 9780321909107

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