First slide

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

A

4 m/s
B

20 m/s
C

10 m/s
D

15 m/s

Solution

Node to node distance = $\frac{λ}{2}$
$\begin{array}{l} \frac{λ}{2} = 10 λ = 20 c m \\ v = n λ = 100 \times 20 c m / s \end{array}$
=20 m/s.

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