Question

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When an oscillator completes 100 oscillations its amplitude reduced to 1/3 of initial value. What will be its amplitude, when it completes 200 oscillations?



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Answer 1

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Answer 2

$\small \mathsf{ \color{purple}{Given t = 100 \: T, a = a0/3}}$

$\small \mathsf{ \color{purp}{Let \: a’ \: be \: the \: amplitude \: after \: completing \: 200 \: oscillations, \: i.e. \: at \: t = 200 \: T.}}$

$\small \mathsf{ \color{pink}{a = a0/3 = a0e-100Tb}}$

$\small \mathsf{ \color{pink}{Also, a’ = a0e-200Tb}}$

$\small \mathsf{ \color{green}{Therefore \: , a’ = a0/9}}$

$\small \mathsf{ \color{blue}{✦Thus, \: the \: ampitude \: reduces \: by \: 1/9th \: of \: the \: initial \: value.✦}}$

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