Two guitar strings are under the same tension and have the same length. If their fundamental frequencies are in a ratio of 3:2, what is the ratio of their masses?
A) 3/2
B) 2/3
C) 9/4
D) 4/9

Question

Quizplus · Accepted Answer

The fundamental frequency of a string is inversely proportional to the square root of its mass per unit length, given the same tension and length. Therefore, if the frequencies are in a 3:2 ratio, the mass ratio must be the square of the inverse, which is (2/3)^2 = 4/9.

Two Guitar Strings Are Under the Same Tension and Have