A wave is traveling in a string at 60 m/s.When the tension is then increased 60%,what will be the resulting wave speed?
A) also 60 m/s
B) 76 m/s
C) 71 m/s
D) 55 m/s

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 mass per unit length.

When the tension is increased 60% (i.e. 1.6 times the original tension), the new wave speed can be calculated as: 
v_new = √[(1.6T)/μ]

Since the mass per unit length stays the same, the new wave speed will be: 
v_new = √1.6 x v 
v_new = 1.26 x v

Therefore, the resulting wave speed will be 1.26 times the original wave speed: 
v_new = 1.26 x 60 m/s 
v_new = 76 m/s

So, the best choice is B) 76 m/s.

A Wave Is Traveling in a String at 60 M/s