Question
The wave pattern on a stretched string is shown in Interpret what kind of wave this is and find its wavelength.

Answer

The displacement of medium particlles at distance 10, 20, 30, 40, and 50cm are always rest which is the property of nodes in stationary wave.
$\text{AT}\ \text{t}=\frac{\text{T}}{4}$ and $\frac{\text{3T}}{4}$ all particle are at rest wgich is in stationary wave when the particle crossrs its mean position.
so thet praph of wave shos stationaty wave.
The wave at $\text{x}=10,\ 20,\ 30,\ 40\text{cm}$ there are nodes and distance between successive nodes is $\frac{\lambda}{2}$
$\therefore\frac{\lambda}{2}=(30-20)$ or $\lambda=20\text{cm.}$

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