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JEE PHYSICS MCQ: WAVES

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Application +4 | -1
Two waves having equations
x1=a  sin⁡(ωt+ϕ1),x2=a  sin⁡(ωt+ϕ2){x_1} = a\,\,\sin \left( {\omega t + {\phi _1}} \right),{x_2} = a\,\,\sin \left( {\omega t + {\phi _2}} \right)
If in the resultant wave the frequency and amplitude remain equal to those of superimposing waves. Then phase difference between them is
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Correct option: B
2π3\frac{{2\pi }}{3}
Option B (2π3\frac{{2\pi }}{{3}}) is correct because the resultant amplitude is equal to the individual amplitudes only when the phase difference is 2π3\frac{{2\pi }}{{3}}.

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