Question:
The number of nodes and antinodes in a guitar string vibrating in the third harmonic is ________.
The number of nodes and antinodes in a guitar string vibrating in the third harmonic is ________.
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Nodes are points of zero displacement; Antinodes are points of maximum displacement.
Updated On: Jun 26, 2026
- 5 nodes, 4 antinodes
- 4 nodes, 3 antinodes
- 3 nodes, 2 antinodes
- 2 nodes, 3 antinodes
- 1 node, 2 antinodes
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The Correct Option is B
Solution and Explanation
Step 1: Concept
For a string fixed at both ends, the $n$-th harmonic has $n$ loops.
Step 2: Meaning
Third harmonic ($n=3$) means the string is divided into 3 equal segments (loops).
Step 3: Analysis
Number of antinodes $= n = 3$. Number of nodes $= n + 1 = 3 + 1 = 4$.
Step 4: Conclusion
There are 4 nodes and 3 antinodes. Final Answer: (B)
For a string fixed at both ends, the $n$-th harmonic has $n$ loops.
Step 2: Meaning
Third harmonic ($n=3$) means the string is divided into 3 equal segments (loops).
Step 3: Analysis
Number of antinodes $= n = 3$. Number of nodes $= n + 1 = 3 + 1 = 4$.
Step 4: Conclusion
There are 4 nodes and 3 antinodes. Final Answer: (B)
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