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(A) To generate the $p$-th harmonic in a string of length $l$,the string should be plucked at a distance $x = \frac{l}{2p}$ from one end to create an

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Plucked at $\frac{l}{4}$ and touched at $\frac{l}{2}$

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(A) To generate the $p$-th harmonic in a string of length $l$,the string should be plucked at a distance $x = \frac{l}{2p}$ from one end to create an antinode,and touched at a node to suppress other harmonics.For the second harmonic,$p = 2$.Therefore,the plucking point is $x = \frac{l}{2 	imes 2} = \frac{l}{4}$ from one end.The string must be touched at a node to ensure the second harmonic mode is formed. In the second harmonic,there is a node at the center of the string,which is at distance $\frac{l}{2}$ from either end.Thus,the string is plucked at $\frac{l}{4}$ and touched at $\frac{l}{2}$.

$A$ 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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