If the successive overtones of a vibrating string clamped at its ends are 280 Hz and 350 Hz, the frequency of fundamental is:
Correct answer: D. 70 Hz
- A. 350 Hz
- B. 280 Hz
- C. 140 Hz
- D. 70 Hz
Explanation
The overtones of a vibrating string are integer multiples of the fundamental frequency. If the successive overtones are 280 Hz and 350 Hz, the difference between them, 70 Hz, represents the fundamental frequency. Thus, the correct answer is Option D: 70 Hz.Option A (350 Hz) and Option B (280 Hz) are incorrect because they are the given overtones, not the fundamental frequency. Option C (140 Hz) is incorrect because it is not the fundamental frequency derived from the difference between the overtones.
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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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