The speed of a sinusoidal wave on a string depends on:
Correct answer: D. The tension in the string
- A. The frequency of the wave
- B. The amplitude of the wave
- C. The wavelength of the wave
- D. The tension in the string
Explanation
The speed of a wave on a string depends on the tension in the string and the linear mass density of the string as described by the formula v = √(T/μ). This means that if the tension increases, the speed of the wave increases, provided the linear mass density remains constant. Other factors like frequency, amplitude, and wavelength do not directly affect the wave speed. Frequency and wavelength are related to each other through the wave speed (v = fλ), but they do not determine the speed itself. Therefore, option D is correct, as the tension in the string is the primary factor affecting the wave speed.
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About Waves
Progressive waves transfer energy through oscillations, with wavelength, frequency, amplitude and wave speed related by v = fλ; sound speed depends on the medium. Superposition produces interference and stationary waves in strings and organ pipes, while simple harmonic motion describes the oscillation itself and must be distinguished from wave propagation.
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