The distance between two successive peaks of a sinusoidal wave traveling along a string is 2 m. If the frequency of this wave is 4 Hz, what is the speed of the wave? (a) 4 m/s (b) 1 m/s (c) 8 m/s (d) 2 m/s (e) impossible to answer from the information given.

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Solution

Answer (c). The distance between two successive peaks is the wavelength: $λ = 2 m$ , and the frequency is $4 H z$ . The frequency, wavelength, and speed of a wave are related by the equation $f λ = v$ .

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The distance between two successive peaks of a sinusoidal wave traveling along a string is 2 m. If the frequency of this wave is 4 Hz, what is the speed of the wave? (a) 4 m/s (b) 1 m/s (c) 8 m/s (d) 2 m/s (e) impossible to answer from the information given.

Answer (c). The distance between two successive peaks is the wavelength: λ=2 m, and the frequency is 4 Hz. The frequency, wavelength, and speed of a wave are related by the equation fλ=v.

Answer (c). The distance between two successive peaks is the wavelength: $λ = 2 m$ , and the frequency is $4 H z$ . The frequency, wavelength, and speed of a wave are related by the equation $f λ = v$ .