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Question

The wave function for a travelling wave on a taut string is (in SI units) s(x,t)=(0.350m)sin(10πt3πx+π/4). What are wavelength and frequency of the wave?

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Solution

On comparing the given statement with s(x,t)=Asin(wtkx+ϕ)

We get w=10 π k=3π ϕ=π4

Frequency of wave f=w2π=10π2π=5 Hz

Wavelength of wave λ=2πk=2π3π=0.67 m

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