Wave motionEasy
Question
A wave y = asin(ω - kx)on a string meets with another wave producing a node at x = 0. Then the equation of the unknown wave is
Options
A.y = asin(ωt + kx)
B.y = - a sin(ωt + kx)
C.y = a sin(ωt - kx)
D.y = - a sin(ωt - kx)
Solution
y1 + y2 = a sin(ωt - kx) - a sin(ωt + kx)
= - 2a cos ωt sin kx ⇒ y1 + y2 = 0 at x = 0
= - 2a cos ωt sin kx ⇒ y1 + y2 = 0 at x = 0
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