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Two reeds of a harmonium are meant to play the same note…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Two reeds of a harmonium are meant to play the same note. One gives and the other . Both are played together. Find (a) the beat frequency, (b) the time from one loud moment to the next, (c) the pitch heard, and (d) the number of beats in .
Need a reminder? The key ideaShow
Two sounds of frequencies and that are close give beats:
You hear the pitch . Wax lowers a fork's frequency, filing raises it, tightening raises a string's.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
(a) .
(b) .
(c) The pitch is .
(d) beats.
A note. 4.5 beats each second is easy to hear and count. The program adds the two waves and counts the loud moments.
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