Beats

When you listen to two sound waves of similar frequency you will hear beats - the intensity of the sound rising and falling.

When the waves are exactly in phase with one another constructive interference produces a loud sound.

For waves of different frequencies, as time passes they drift out of phase until completely destructive interference takes place and you hear nothing. The phase difference continues to grow and, the closer it gets to a full wavelength shift, the higher the intensity.

This continues, with the intensity of the sound oscillating from maximum to zero and back again continually. The closer the waves are in frequency the slower the cycle of rising and falling intensity.

The frequency at which the amplitude of the resultant wave rises and falls is known as the beat frequency.

The beat frequency equals the difference in frequency between the two waves.

Question: You have a tuning fork with a frequency of 400 Hz. When you play it at the same time as a second tuning fork of unknown frequency you hear beats with a frequency of 5 Hz. What is the frequency of the second tuning fork?

  1. 395 Hz (1/32) (3%)
  2. 405 Hz (1/32) (3%)
  3. It could be 395 Hz or 405 Hz (29/32) (91%)
  4. 80 Hz (0/32) (0%)
  5. 2000 Hz (0/32) (0%)
  6. It could be 80 Hz or 2000 Hz (1/32) (3%)