Question:medium

If the amplitudes of a damped harmonic oscillator at times t=0, \(t_1\) and \(t_2\) are \(A_0\), \(A_1\) and \(A_2\) respectively, then the amplitude of the oscillator at a time of \((t_1+t_2)\) is

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For any quantity that decays exponentially, such as amplitude in damped oscillations or population in radioactive decay, the value at a time \(t_1+t_2\) is related to the values at \(t_1\) and \(t_2\) by \(A(t_1+t_2) = A(t_1)A(t_2)/A_0\), where \(A_0\) is the initial value.

Updated On: Mar 30, 2026

\( \frac{A_0+A_1+A_2}{3} \)
\( \frac{A_2A_0}{A_1} \)
\( \frac{A_1A_0}{A_2} \)
\( \frac{A_1A_2}{A_0} \)

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The Correct Option is D

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