damped oscillations, the amplitude of oscillations is reduced to one-third of its initial value a0 at the end of 100 oscillations. When the oscillator completes 200 oscillations, its amplitude must be
Answer (1)
10th Aug, 2020
Hi Student,
In damped oscillation , amplitude goes on decaying exponentially,
a = a0e^−bt
where b = damping coefficient.
Initially,
a0/3 = a0e^−b×100T,
T=time of one oscillation
or
1/3 = e^−100bT ...(i)
Finally ,
a = a0e^−b×200T
or
a = a0[e^−100bT]^2
or
a = a0×[1/3]^2 (
From Eq. (i))
or
a = a0/9
Feel free to ask doubts in the Comment Section.
I hope this information helps you.
Good Luck!
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