Question

Problem 9

Answer 1

Given information

The speed of the sound in guitar string is

 

The frequency of a wave in a string is inversely related to its length while the wave's speed is constant.

The string's effective length is reduced when it is pushed down. It causes a rise in frequency.

Step-by-step explanation

Step 1.

Because the fret is so near to the string, pushing the string straight down onto a fret has little effect on the tension. The wave's amplitude is governed by how forcefully the string is plucked, not by how firmly the string is pressed on the frets. The effective length of the string is shortened when it is pushed down, which shortens the wavelength and so raises the oscillation frequency. (Fretting the string has no effect on the wave speed on the string.