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A guitar string has a length of 0.90 m. When you pluck it, it plays a “C” that has a frequency of 256 Hz. How fast is the wave moving back and forth along the string?


PLZZZ explain how you got the answer!!!!

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[tex]v = f \times λ \: [/tex]

V = Speed

f = frequency of wave

λ = no of wavelengths

Note that in a string, the number of wavelengths is given by;

[tex] \frac{λ}{2} = l \\ \\ λ = 2l[/tex]

l is the length of the string

Hence, λ = 2 × 0.9 = 1.8

Substitute the value of λ in the first equation ;

[tex]v = f \times λ \\ \\ v = 256 \times 1.8 = 460.8m {s}^{ - 2} [/tex]

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