A wave travelling along uniform string represented by Y = A ( t - kx) is superposed with another wave travelling along the same string represented by Y = A ( t + kx). The resultant is

MHT CET 2022 Physics question

A wave travelling along uniform string represented by is superposed with another wave travelling along the same string represented by . The resultant is

(A)a wave travelling along + x direction
(B)a standing wave having nodes at , when n = 1, 2, 3, ......Correct
(C)a wave travelling along - x direction
(D)a standing wave having nodes at , when n = 0, 1, 2, ......

Answer: (B)

Solution

Add the two waves: . This has no combination, so it is a standing wave, not a travelling wave (rules out A and C). Nodes occur where , i.e. $kx =

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Question ID VK-093921