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

Question

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 (A) (l/4), (l/2) (B) (l/4), (3l/4) (C) (l/2), (l/2) (D) (l/2), (3l/4)

Tardigrade Admin · Accepted Answer

In the 2nd harmonic the shape of wave looks like. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/a58fe8654acc71b7b712274efd915a07-.png" /> The point of touching forms a node point of plucking forms an antinode. Hence, for 2 text nd harmonic, we need to need wire touched at (l/2) and pluck it at (l/4).

Q. 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

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

$\frac{l}{4}, \frac{3 l}{4}$

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

$\frac{l}{2}, \frac{3 l}{4}$

In the $2^{n d}$ harmonic the shape of wave looks like.

The point of touching forms a node point of plucking forms an antinode. Hence, for $2^{nd}$ harmonic, we need to need wire touched at $\frac{l}{2}$ and pluck it at $\frac{l}{4}$ .

Q. 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

4l​,2l​

4l​,43l​

2l​,2l​

2l​,43l​