STANDARDPhysics-Waves
STANDARD Physics Superposition of Waves MCQ Question
Type: MCQ-conceptual-Medium-Class 11
A travelling wave represented by y(x, t) = a sin (kx – ωt) is superimposed on another wave represented by y(x, t) = a sin (kx + ωt). The resultant is a
A
standing wave having nodes at x = (n + 1/2)λ/2, n = 0, 1, 2, ....
B
standing wave having nodes at x = nλ/2, n = 0, 1, 2, ....
C
wave travelling along +x direction.
D
wave travelling along –x direction.
Correct Answer
Option B
Detailed Explanation
According to the principle of superposition, the resultant wave is y = a sin (kx – ωt) + a sin(kx + ωt) = 2a sin kx cos ωt, which represents a standing wave. The positions of nodes are given by x = nλ/2, n = 0, 1, 2, ....
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