When a certain string is clamped at both ends, the lowest four resonant frequencies are measured to be 100, 150, 200, and 250 Hz. One of the resonant frequencies (below 200 Hz) is missing. What is it?
Correct answer: C. 50 Hz
- A. 25 Hz
- B. 75 Hz
- C. 50 Hz
- D. 125 Hz
Explanation
Observed sequence 100,150,200,250 corresponds to 2f,3f,4f,5f ⇒ fundamental f = 50 Hz. So the missing lowest resonance is 50 Hz.
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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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