If I double the mass per unit length of guitar string,its natural frequency changes by what factor?
A) 2.0
B) 1.4
C) 1.0
D) 0.71

Question

Quizplus · Accepted Answer

According to the formula for the natural frequency of a string, which is given by f=(1/2L)*sqrt(T/U), where L is the length of the string, T is the tension in the string, and U is the linear density (mass per unit length) of the string, we can see that increasing the linear density of the string by a factor of two will decrease the natural frequency by a factor of sqrt(2), or approximately 0.71. Therefore, the correct answer is D.

If I Double the Mass Per Unit Length of Guitar