

InterviewSolution
Saved Bookmarks
1. |
A standing wave is represented by y = 2A sin kx cos ωt. If one of the component waves is y1 = Asin (ωt – kx). What is the equation of the second component wave? |
Answer» As 2sin A cos B = sin(A + B) + sin(A – B) ∴ y = 2Asin kx cos ωt = Asin(kx + ωt) + Asin(kx − ωt) According to superposition principle, y = y1 + y2, And y1= A sin (ωt – kx) = −A sin (kx – ωt) y2 = y − y1 = 2Asin kx cos ωt + Asin(kx − ωt) = Asin(kx − ωt) + 2Asin(kx − ωt) = Asin(kx − ωt) − 2Asin(kx − ωt) |
|