A wave is traveling in a string at 50 m/s.When the tension is then increased 18%,what will be the resulting wave speed?
A)also 50 m/s
B)54 m/s
C)45 m/s
D)21 m/s
E)59 m/s

Question

A wave is traveling in a string at 50 m/s.When the tension is then increased 18%,what will be the resulting wave speed?​
A)also 50 m/s
B)54 m/s
C)45 m/s
D)21 m/s
E)​59 m/s

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 mass density. Since the string is the same, μ is constant. Therefore, if the tension is increased by 18%, the wave speed will increase by √(1.18) = 1.09 or 9%. 
So the resulting wave speed will be 50 x 1.09 = 54 m/s. Therefore, the correct choice is B.

A Wave Is Traveling in a String at 50 M/s