Question

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

Answer 1

Answer:

Given:

We have a string of length L. It has been attached at the 2 ends and a transverse pulse ia 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 = λ/2

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \huge{ \blue{ \sf{L = \dfrac{ \lambda}{2}}}}}$

$\implies \: \lambda = 2L$

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

Next series of wavelengths will be smaller than this wavelength.

Answer 2

Explanation:

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