How Many Harmonics in a 4-Node Standing Wave?

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A standing wave with 4 nodes corresponds to the 3rd harmonic, as each harmonic adds one additional node to the fundamental frequency. The fundamental (1st harmonic) has 1 node, the 2nd harmonic has 2 nodes, and the 3rd harmonic has 3 nodes. Therefore, the presence of 4 nodes indicates the 3rd harmonic is produced. The confusion may arise from miscounting the nodes or misunderstanding harmonic definitions. In conclusion, the correct answer is the 3rd harmonic.
PearlyD
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Homework Statement


A standing wave is set on a string by a vibrating the string at one end. You count 4 nodes on the standing wave. Which harmonic have you produced?




The Attempt at a Solution


I thought it was 3rd harmonic,but my teacher put 2nd harmonic
whos right?
 
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