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Question

# The equation of the displacement of two particles making SHM are represented by y1 = a sin (ωt+ϕ) & y2 = a cos (ωt). The phase difference of the velocities of the two particles is :π2+ϕ−ϕϕ−π2ϕ

A
π2+ϕ
B
ϕ
C
ϕπ2
D
ϕ
Solution
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#### y1=asin(ωt+ϕ)y2=acos(ωt)y1=aωcos(ωt+ϕ)=aωsin(ωt+ϕ+π/2)y2=−aωsin(ωt)=aωsin(π+ωt)therefore phase difference=ωt+ϕ+π/2−(π+ωt)=ϕ−π/2

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