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(A) For the second harmonic in a string of length $l$ fixed at both ends,the standing wave pattern consists of two loops with a node at the center $(l

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Plucked at $l/4$ and touched at $l/2$

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(A) For the second harmonic in a string of length $l$ fixed at both ends,the standing wave pattern consists of two loops with a node at the center $(l/2)$.To excite a specific harmonic,we pluck the string at an antinode and touch it at a node.For the second harmonic $(n=2)$,the wavelength is $\lambda_2 = 2l/n = l$.The nodes are located at $x = 0, l/2, l$.The antinodes are located at $x = l/4$ and $x = 3l/4$.To generate the second harmonic,we must pluck the string at an antinode (e.g.,$l/4$) and touch it at a node (e.g.,$l/2$) to suppress the fundamental frequency and allow the second harmonic to persist.

$A$ second harmonic has to be generated in a string of length $l$ stretched between two rigid supports. The points where the string has to be plucked and touched are

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