AP EAMCET · PHYSICS · Oscillations
In a time of 2 s , the amplitude of a damped oscillator becomes \(\frac{1}{e}\) times its initial amplitude A. In the next two seconds, the amplitude of the oscillator is
- A \(\frac{1}{2 e}\)
- B \(\frac{2}{e}\)
- C \(\frac{1}{e^2}\)
- D \(\frac{2}{e^2}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{e^2}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{t}=2 \mathrm{~s}, \mathrm{~A}^{\prime}=\frac{\mathrm{A}}{\mathrm{e}}\) In damped oscillation, \(\mathrm{A}^{\prime}=\mathrm{A} \mathrm{e}^{-\left(\frac{\mathrm{b}}{2 \mathrm{M}}\right) \mathrm{t}}\)…
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