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Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie on a straight line perpendicular to the paths of the two particles. The phase difference is

a
zero
b
2π3
c
π
d
π6

detailed solution

Correct option is B

Equation of SHM is given by x = A sin (ωt+δ)(ωt = δ) is called phase.when x = A2, then   sin(ωt+δ) = 12  ⇒ ωt+δ = π6or φ1 = π6For second particle, ϕ2 = π-π6 = 5π6    ∴    ϕ2-ϕ1        = 4π6= 2π3

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