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For S.H.M, a graph of acceleration against displacement gives a slope of 16 unit. The period is

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    x = Acosωt
    v = - Aωsinωt
    a= - Aω^2cosωt
    a/x= Aω^2cosωt/ Acosωt=ω^2 = 16
    ω= 4 (rad/s)
    T=2π/ω=2π/4 = π/2 = 1.57 s.

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