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Question

Two particles are executing simple harmonic motion of the same amplitude A and frequency ω along the x-axis. Their mean position is separated by distance X0(X0>A). If the maximum separation between them is (X0+A), the phase difference between their motion is
  1. π/2
  2. π/3
  3. π/4
  4. π/6

A
π/6
B
π/2
C
π/3
D
π/4
Solution
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x1=Asin(ωt+ϕ1)x2=Asin(ωt+ϕ2)x1x2=A[2sin[ωt+ϕ1+ϕ22]sin[ϕ1ϕ22]]A=2Asin(ϕ1ϕ22)ϕ1ϕ22=π6ϕ1=π3
Hence,
option (B) is correct answer.

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