A second harmonic has to be generated in a st | vedclass

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(A) In the $2^{	ext{nd}}$ harmonic,the string vibrates in two loops,meaning there is one node in the middle of the string at $x = \frac{l}{2}$ and tw

Vedclass · Accepted Answer

$\frac{l}{4}, \frac{l}{2}$

Vedclass · Answer

(A) In the $2^{	ext{nd}}$ harmonic,the string vibrates in two loops,meaning there is one node in the middle of the string at $x = \frac{l}{2}$ and two antinodes at $x = \frac{l}{4}$ and $x = \frac{3l}{4}$.To generate the $2^{	ext{nd}}$ harmonic,we must force a node at the center by touching the string at $x = \frac{l}{2}$.To excite the vibration,we must pluck the string at an antinode position. The available antinode positions are $\frac{l}{4}$ or $\frac{3l}{4}$.Comparing this with the given options,the correct pair for (plucking point,touching point) is $(\frac{l}{4}, \frac{l}{2})$.Thus,the correct option is $A$.

$A$ 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 respectively

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