On a frictionless horizontal plane, a bob of mass \( m=0.1 \mathrm{~kg} \) is attached to a spri...

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On a frictionless horizontal plane, a bob of mass \( m=0.1 \mathrm{~kg} \) is attached to a spring with natural length \( l_{0}=0.1 \mathrm{~m} \). The spring constant is \( k_{1}=0.009 \mathrm{Nm}^{-1} \) when the length of the spring \( ll_{0} \) and is \( k_{2}=0.016 \mathrm{Nm}^{-1} \) when \( ll_{0} \). Initially the bob is released from \( l=0.15 \mathrm{~m} \). Assume that Hookes law remains valid throughout the motion. If the time period of the full oscillation is \( T=(n \pi) \mathrm{s} \), then the integer closest to \( n \) is
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