Since the point x=0 is a node and reflection is taking place from point x=0. This means that reflection must be taking place from the fixed end and hence the reflected ray must suffer an additional phase change of π or a path change of 2λ. So, if yincident =acos(kx−ωt) ⇒yincident =acos(−kx−ωt+π)=−acos(ωt+kx) Hence equation for the other wave y=acos(kx+ωt+π)
A wave represented by the equation y_1=a cos (k x-ω t) is superimposed with another wave to form a stationary wave such that the point x-0 is node.…
JEE Main 2012 — Physics Waves & Oscillations
2012mcqhard
A wave represented by the equation y1=acos (kx−ωt) is superimposed with another wave to form a stationary wave such that the point x−0 is node. The equation for the other wave is
Official previous-year question
Held on 12 May 2012 · Verified 6 Jul 2026.
Options
- A
acos(kx−ωt+π)
- B
acos(kx+ωt+π)
- C
acos(kx+ωt+2π)
- D
acos(kx−ωt+2π)
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