JEE Mains · Physics · STD 11 - 13. oscillations
The amplitude of a damped oscillator decreases to \(0.9\) times its original magnitude in \(5\ s\). In another \(10\ s\) it will decrease to \(\alpha \) times its original magnitude, where \(\alpha \) equals
- A \(0.6\)
- B \(0.7\)
- C \(0.81\)
- D \(0.73\)
Answer & Solution
Correct Answer
(D) \(0.73\)
Step-by-step Solution
Detailed explanation
\(\because A=A_{0} e^{-\frac{b t}{2 m}}\left(\text { where }, A_{0}=\text { maximum amplitude }\right)\) \( According \,to \,the\, questions,\, after\, 5\, second, \) \(0.9 \mathrm{A}_{0}=\mathrm{A}_{0} \mathrm{e}^{-\frac{\mathrm{b}(5)}{2 \mathrm{m}}}\) \(...(i)\)…
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