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Two travelling waves y1=Asin[k(x-ct)] an...

Two travelling waves `y_1=Asin[k(x-ct)]` and `y_2=Asin[k(x+ct)]` are superimposed on string. The distance between adjacent nodes is

A

`pi/k`

B

` (ct)/pi`

C

` (ct)/(2 pi)`

D

` pi/(2k)`

Text Solution

Verified by Experts

The correct Answer is:
A
The two superposed waves will form a stationary wave.
The distance between two adjacent nodes is ` lambda/2`. Since the propagation constant ` k = (2pi)/ lambda` .
` :. lambda = (2 pi)/ k " and " lambda/2 = pi/k `
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