Doubling the mass per unit length of a guitar string will result in changing the wave speed in the string by what factor?
A) 1.41
B) 1.00 (i.e. ,no change)
C) 0.71
D) 2.00

Question

Quizplus · Accepted Answer

The wave speed in a string is given by v = sqrt(T/μ), where T is tension and μ is mass per unit length. Doubling the mass per unit length will decrease the wave speed by a factor of sqrt(2), which is approximately 0.71. Therefore, the correct answer is (C).

Doubling the Mass Per Unit Length of a Guitar String