InterviewSolution
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InterviewSolution
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A travelling wave represented by y = Asin(ωt-kx) is superimposed on another wave represented by y= Asin(ωt+kx) . the Resultant is [AIEEE 2011] |
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Answer» ng to the principle of superposition, the resultant WAVE isy=asin(kx−ωt)+asin(kx+ωt)=2a sin ωt cos x -----(i) It represents a standing wave.In the standing wave, there will be NODES (where AMPLITUDE is zero) and antinodes (where amplitude is largest).From Eq. (i), the positions of nodes are GIVEN BYSIN kx=0⟹kx=nπ;n=0,1,2,....or 2π/λx=nπ;0,1,2,....or x=nλ/2;n=0,1,2,...In the same way,From Eq.(i), the positions of antinodes are given by∣sinkx∣=1⟹kx=(n+1/2)π;n=0,1,2,.....or 2πx/λ =(n+1/2)π;n=0,1,2,.....or x=(n+1/2)λ/2;n=0,1,2,.....HOPING THIS WILL HELP YOU PLZ MARK AS BRAINLIEST AND FOLLOW ME |
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