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AP EAMCET · PHYSICS · Oscillations

The amplitude of a damped oscillator is known to decrease to 0.9 times its original amplitude in \(5 \mathrm{~s}\). Approximately, by how many times its original amplitude will decrease after another \(20 \mathrm{~s}\) ?

  1. A 0.73
  2. B 0.9
  3. C 0.59
  4. D 0.26
Verified Solution

Answer & Solution

Correct Answer

(C) 0.59

Step-by-step Solution

Detailed explanation

Initial amplitude, \(A_i=A_0\) Final amplitude \(A_f=0.9 A_0\) Case 1 Time \(t_1=5 \mathrm{~s}\) Case 2 Time \(t_2=20 \mathrm{~s}\) Let, amplitude after \(20 \mathrm{~s}\) be \(A^{\prime}\). As we know that,…