Two travelling waves y1=Asin[k(x+ct)] and y2=Asin[k(x−ct)] are superposed on a string. The distance between adjacent nodes is
A
ctπ
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B
ct2π
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C
π2k
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D
πk
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Solution
The correct option is Dπk Distance between adjacent nodes =λ2. Also, 2πλ= Coefficient of x in the argument of the sine function = k ⇒λ=2πk Hence, the distance between adjacent nodes =πk and the correct choice is (d).