JEE PYQ: Oscillations Question 27
Question 27 - 2019 (08 Apr 2019 Shift 2)
A damped harmonic oscillator has a frequency of 5 oscillations per second. The amplitude drops to half its value for every 10 oscillations. The time it will take to drop to $\frac{1}{1000}$ of the original amplitude is close to:
(1) 50 s
(2) 100 s
(3) 20 s
(4) 10 s
Show Answer
Answer: (3)
Solution
Half amplitude every 2 s. $\frac{A_0}{1000} = A_0 e^{-kt}$. Solving with the half-life equation gives $t \approx 20$ s.
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