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Q.

The displacement of two particles executing S.H.M are represented by y1 = a sin(ωt + ϕ) and y2 = a cosωt. The phase difference between the velocities of these particles is

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a

ϕ+π/2

b

ϕπ/2

c

ϕ

d

+ϕ

answer is D.

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Detailed Solution

y1=asin(ωt+ϕ)(1)
phase of it ϕ1=ωt+ϕ
y2=acosωt=asinωt+π2
phase of it ϕ2=ωt+π/2
phase difference Δϕ=ϕ1ϕ2=ϕπ/2

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