For a wave traveling in a string,by what factor would the tension need to be increased to quadruple the wave speed? B)4 C)4² D)4³ E)4⁴

Question

Quizplus · Accepted Answer

The wave speed in a string is given by the equation:

v = √(T/μ)

where T is the tension in the string and μ is the linear density of the string.

To quadruple the wave speed, we need to increase it by a factor of 4. This means:

4v = √(4T/μ)
16v^2 = 4T/μ
T = 4μv^2

So, we need to increase the tension by a factor of 4. Choice C is the only one that represents this increase in tension.

For a Wave Traveling in a String,by What Factor Would