Q.

The displacement equations of two interfering waves are given by y1=10sinωt+π3cm, y2=5[sinωt+3cosωt] cm respectively.
The amplitude of the resultant wave is _____ cm.

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answer is 20.

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Detailed Solution

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y1=10sinωt+π3A1=10my2=5[sinωt+3cosωt]=1012sinωt+32cosωt=10sinωt+π3A2=10mϕ=0R=A12+A22+2A1A2cosϕ=A1+A2=20m

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The displacement equations of two interfering waves are given by y1=10sin⁡ωt+π3cm, y2=5[sin⁡ωt+3cos⁡ωt] cm respectively.The amplitude of the resultant wave is _____ cm.