A stationary wave is established in a string that vibrates in four segments at a frequency of 120Hz. Its fundamental frequency is:
Correct answer: C. 30 Hz
- A. 15 Hz
- B. 60 Hz
- C. 30 Hz
- D. 480 Hz
Explanation
Four segments correspond to fourth harmonic: f4 = 4 f1 ⇒ f1 = f4/4 = 120/4 = 30 Hz. Thus, option (C) is correct.
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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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