The frequency of the first harmonic of a string stretched between two points is 100 Hz. The frequency of the third overtone is

Correct answer: C. 400 Hz

  • A. 200 Hz
  • B. 300 Hz
  • C. 400 Hz
  • D. 600 Hz

Explanation

"Third overtone" means fourth harmonic: f4 = 4 f1 = 4×100 = 400 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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