Match the following columns of damped oscillations expressed by x(t)=A e^ -b t / 2 m ( ^…

Physics · JEE Main · NTA ExamsOscillations and Waves

Match the following columns of damped oscillations expressed by \(x(t)=A e^{-b t / 2 m} \cos \left(\omega^{\prime} t+\phi\right)\), where
 Column-I Column-II
 (A) b = 0 means 1 .  Small damping
 (B) \(\frac{1}{2} k A^{2} e^{-b / m}\) equals 2 . Amplitude
 (C) If \(\frac{\mathrm{b}}{\sqrt{\mathrm{~km}}} \ll 1\) means 3 . No damping
                4 . Total mechanical
                                                           energy
 Choose the correct option regarding above columns. Form the codes given below
           Codes
         A       B       C
  1. 3       2         1
  2. 1       2         3
  3. 3       4         1
  4. 3       4         2

Answer

(C) 3 4 1

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