Question

The maximum wavelength of a transverse wave that can be set up
in a string of length L is
a) 4L
b) L12
c) 2 L
d) L​

Answer 1

Answer:

(d)L

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Answer 2

Max wavelength of the transverse pulse. = 2L

Given:

We have a string of length L. It has been attached at the 2 ends and a transverse pulse generated at on end.

To find:

Max wavelength of the transverse pulse.

Concept:

When a pulse is generated at one end , it will reflect at the other end and superimpose to form a Standing Wave.

Calculation:

Since the 2 ends are attached , we will get nodes at 2 ends.

Minimum Distance between

2 nodes = $\frac{\lambda}{2}$

     L =  $\frac{\lambda}{2}$

     $\lambda$ = 2L

This is the max wavelength that can be formed by the 1st member of standing waves.

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