Simple Harmonic Motion 5 Question 2
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 of the original amplitude is close to
(2019 Main, 8 April II)
(a)
(b)
(c)
(d)
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Answer:
Correct Answer: 2. (a)
Solution:
- Given, frequency of oscillations is
So, time for 10 oscillations is
Now, if
Now, when amplitude is
[using Eq. (i)]