Question
A string of length L is fixed at both ends. It supports
a standing wave with 3 antinodes. If the speed of the wave on the string is v, what is the frequency of oscillation?Solution
In a stretched string fixed at both ends, standing waves form only at specific allowed frequencies called harmonics.
- The number of antinodes corresponds to the harmonic number.
- So, if there are 3 antinodes, this is the 3rd harmonic, i.e., n = 3.
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