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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

`ct//pi`

B

`ct //2pi`

C

`pi//2pi`

D

`pi//k`

Text Solution

Verified by Experts

The correct Answer is:
D
`y = y_1 + y_2 = A [sin(kx – kct) + sin(kx + kct)] `
`= 2A sin(kx) cos(kct)`
For nodes, sin kr = 0
`implies kx_(n) =npi implies x_n =(npi)/kimplies x_n = (npi)/(2pi//lamda)=(nlamda)/2`
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