Double both the tension in a guitar string and its mass per unit length will result in changing the wave speed in the string by what factor?

A) 0.71
B) 1.00 (i.e. ,no change)
C) 1.41
D) 2.00
E) 2.83

Question

Double both the tension in a guitar string and its mass per unit length will result in changing the wave speed in the string by what factor?
​
A) 0.71
B) 1.00 (i.e. ,no change)
C) 1.41
D) 2.00
E) ​2.83

Quizplus · Accepted Answer

The wave speed on a string is given by the formula v = sqrt(T/μ), where T is the tension and μ is the mass per unit length. Doubling both T and μ results in v = sqrt(2T/2μ) = sqrt(T/μ), so the wave speed remains unchanged.

Double Both the Tension in a Guitar String and Its