Match the following columns of damped oscillations expressed by x(t)=A e^ -b t / 2 m ( ^…
Physics · JEE Main · NTA Exams — Oscillations 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
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
- 3 2 1
- 1 2 3
- 3 4 1
- 3 4 2
Answer
(C) 3 4 1
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