Two particle are executing simple harmonic motion of the same amplitude A and frequency ω along to x-axis. Their mean position is separated by distance X₀ (X₀> A ) . if the maximum separation between them is (X₀+A) , the phase between their motion is [AIEEE 2011]
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x1=Asin(ωt+ϕ1)x2=Asin(ωt+ϕ2)x1−x2=A[2sin[ωt+2ϕ1+ϕ2]sin[2ϕ1−ϕ2]]A=2Asin(2ϕ1−ϕ2)2ϕ1−ϕ2=6πϕ1=3π
Hence,
option (B) is correct answer.
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