The equation of the displacement of two particles making SHM are represented by $y_{1} = a \sin (ωt + ϕ) & y_{2} = acos (ωt)$ . Phase difference
between velocities of two particles is

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$\frac{π}{2} + ϕ$

$ϕ - \frac{π}{2}$

$- ϕ$

$ϕ$

answer is D.

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Detailed Solution

$\begin{array}{l} v_{1} = \frac{{dy}_{1}}{dt} = a ω \cos (ω t + φ) \\ v_{2} = \frac{{dy}_{2}}{dt} = - a ω \sin (ω t); Δ ϕ = ϕ - \frac{π}{2} \end{array}$

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