two sound waves have frequencies of 12Hz and 10Hz. Calculate their beats period
Answer Details
When two sound waves of different frequencies overlap, they interfere with each other to produce a resultant wave. If the frequencies of the two waves are close, a phenomenon called beats occurs, where the amplitude of the resultant wave varies periodically.
The period of beats is given by T = 1/(f1 - f2), where f1 and f2 are the frequencies of the two waves.
Using the formula, we can calculate the beats period for the given frequencies:
T = 1/(12 Hz - 10 Hz) = 1/2 Hz = 0.5 s
Therefore, the answer is 0.5s.