First slide

Stationary waves

Question

Two travelling waves $y_{1} = Asin [k (x - c t)]$ and $y_{2} = Asin [k (x + c t)]$ are superimposed on string. The distance between adjacent nodes is

Easy

A

$c t / π$
B

$c t / 2 π$
C

$π / 2 k$
D

$π / k$

Solution

The distance between adjacent nodes $x = \frac{λ}{2}$
Also $k = \frac{2 π}{λ} .$ Hence $λ = \frac{2 π}{k} .$
$x = \frac{π}{k}$

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