Two simple harmonic motions are given by y1=asin[(π2)t+ϕ] and y2=bsin[(2π3)t+ϕ]. The phase difference between these after 1 s is:

zero

π/2

π/4

π/6

A

zero

B

π/4

C

π/2

D

π/6

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Solution

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At t = 1 s ϕ1=π2+ϕ and ϕ2=2π3+ϕ ∴Δϕ=ϕ2−ϕ1=π6

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