A travelling wave represented by y(x, t) = a sin (kx – 
t) is superimposed on another wave represented by y(x, t) = a sin (kx + 
t). The resultant is a
A
Standing wave having nodes at x = 
n = 0, 1, 2, ....
n = 0, 1, 2, ....
B
Standing wave having nodes at x = 
; n = 0, 1, 2, ...
; n = 0, 1, 2, ...
C
Wave travelling along + x direction
D
Wave travelling along – x direction
Text Solution
Verified by ExpertsThe correct answer is:
B
According to the principle of superposition, the resultant wave is
…. (i)
It represent a standing wave. In the standing wave, there will be nodes (where amplitude is zero) and antinodes (where amplitude is largest).
For Eq. (i), the positions of nodes are given by
Sin k x = 0
n = 0,1,2, ……..
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