TS EAMCET · Physics · Oscillations
In a time ' \(t\) ', the amplitude of vibrations of a damped oscillator becomes half of its initial value, then the mechanical energy of the oscillator decreases by
- A \(40 \%\)
- B \(20 \%\)
- C \(75 \%\)
- D \(50 \%\)
Answer & Solution
Correct Answer
(C) \(75 \%\)
Step-by-step Solution
Detailed explanation
The variation in amplitude of damped harmonic oscillator with time \(t\) is given by \(A=A_0 e^{-b t}\) \(\therefore \frac{\mathrm{A}_0}{2}=\mathrm{A}_0 \mathrm{e}^{-\mathrm{bt}} \therefore \mathrm{e}^{\mathrm{bt}}=\mathbf{2}\) For a damped oscillator if the damping is small…
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