A string is strung horizontally with a fixed tension.A wave of frequency 90 Hz is sent along the string,and it has a wave speed of 55.1 m/s.Then a second wave,one of frequency 180 Hz,is sent along the string.What is the wave speed of the second wave?

A) 27.6 m/s
B) 55.1 m/s
C) 110.2 m/s
D) 82.7 m/s
E) 220.4 m/s

Question

A string is strung horizontally with a fixed tension.A wave of frequency 90 Hz is sent along the string,and it has a wave speed of 55.1 m/s.Then a second wave,one of frequency 180 Hz,is sent along the string.What is the wave speed of the second wave?
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A) 27.6 m/s
B) 55.1 m/s
C) 110.2 m/s
D) 82.7 m/s
E) 220.4 m/s

Quizplus · Accepted Answer

The wave speed on a string under fixed tension depends only on the tension and the linear mass density of the string, not on the frequency of the wave. Therefore, the wave speed of the second wave is the same as the first, 55.1 m/s.

A String Is Strung Horizontally with a Fixed Tension