Standing waves

Question

A wave of frequency 100Hz is set along a string towards a fixed end. After reflection a node is formed at 10cm from the fixed end. The speed of the incident as reflected wave is

Easy

Solution

Node to node distance = $\frac{\lambda}{2}$

$\begin{array}{l}\frac{\lambda}{2}=10\lambda =20\text{\hspace{0.17em}}cm\\ v=n\lambda =100\times 20\text{\hspace{0.17em}}cm/s\end{array}$

=20 m/s.

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