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A simple harmonic oscillator has an amplitude a and time period T. The time required to travel from $x = a to$ $x = a / 2 is$

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Correct option is A

x=asin⁡ωt=asin⁡2πTt Now a2=asin⁡2πTt or sin⁡2πTt=12 or sim 2πTt=sin⁡π6 or t=T/12 For x=a we have t=T/4 So, the time taken to travel from x=a to x=a/2 =T/4−T/12=T/6

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A simple harmonic oscillator has an amplitude a and time period T. The time required to travel from x=a to x=a/2 is

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A simple harmonic oscillator has an amplitude a and time period T. The time required to travel from $x = a to$ $x = a / 2 is$