A second harmonic has to be generated in a string of length l stretched between two rigid supports.

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14.Waves and Sound

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

A

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

B

Plucked at $\frac{l}{4}$ and touch at $\frac{3l}{4}$

C

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

D

Plucked at $\frac{l}{2}$ and touched at $\frac{3l}{4}$

Solution

To generate the second harmonic is a staring of length stretched between two rigid supports has to plucked at $l / 4$ and touched at $l / 2$

For second harmonic, wavelength $\left(\lambda_{2}\right)$ of the standing waves set up on the corresponds to the $n=2$

Thus, $\lambda_{n}=\frac{2 l}{n}$

$\Rightarrow \lambda_{2}=\frac{2 l}{2}=l$

This shows that we have an antinode at $l / 2$

This shows that we have an node at $l / 4$

Standard 11

Physics

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