A guitar string is supposed to have a fundamental frequency 256 Hz. It currently has a fundamental frequency 248 Hz. What percentage increase in tension is required to bring the guitar string into tune?
A)3.13%
B)6.56%
C)1.60%
D)6.15%
E)3.23%

Question

Quizplus · Accepted Answer

The frequency of a string is proportional to the square root of the tension. To increase the frequency from 248 Hz to 256 Hz, the tension must be increased by (256/248)^2 - 1, which is approximately 6.56%.

A Guitar String Is Supposed to Have a Fundamental Frequency