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Questions  

The time period of a particle in simple harmonic motion is 8 second. At t =0, it is at the mean position. The ratio of the distances traveled by it in the first and second second is
 

a
1 /2
b
12
c
1/(2−1)
d
1/3

detailed solution

Correct option is C

In S.H.M., y=asin⁡ωt where ω=2πT=2π8=π4 At t=1sec, y1=asin⁡(π/4)=a/2 At t=2sec, y2=asin⁡(π/2)=a Now y2−y1=a−a2=(2−1)a2 ∴ y1y2−y1=1(2−1)

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