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String Fixed at Both Ends

The diagram b...

Question

The diagram below shows a string vibrating in such a way that a standing wave pattern is set up, as pictured. The device vibrating the string is set at frequency of $15 H z$ .
What is the speed of the waves as they move along the string?

A

15 m / s

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B

45 m / s

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C

5 m / s

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D

3.0 m / s

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E

0, 60 m / s

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Solution

The correct option is A $15 m / s$
The wave pattern consists of three full wavelenghts which span 3 meters. Hence the wavelength of the pattern is $1 m$ .
From the relation $v = λ ν$
Speed of waves $= λ \times ν = 1 m \times 15 H z = 15 m / s$

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