A stretched string fixed at both ends vibrates in its nth harmonic. How many displacement nodes and antinodes are present, including the two fixed ends as nodes?
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Question

A stretched string fixed at both ends vibrates in its nth harmonic. How many displacement nodes and antinodes are present, including the two fixed ends as nodes?

G1 Physics · Accepted Answer

The nth harmonic has n loops. Each loop contains one antinode, so the number of antinodes is n. The boundaries between loops are nodes, and the two ends are also nodes. Therefore the total number of nodes is n+1. Correct option: B.