There are 2 pianos playing the same note, however the vibration from one piano is 223.20 Hz and that of the other is 223.50 Hz. The beat frequency between the two tones will be?

Correct answer: A. 0.3 Hz

  • A. 0.3 Hz
  • B. -0.3 Hz
  • C. 0 Hz
  • D. 223.35 Hz

Explanation

The beat frequency is the difference between the two frequencies. To find the beat frequency, subtract the smaller frequency from the larger frequency:Beat frequency = 223.50 Hz - 223.20 Hz = 0.30 HzThis means that the two tones will produce a beat frequency of 0.3 Hz, which is the frequency at which the two tones will alternately reinforce and cancel each other.

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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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