When an oscillator completes 100 oscillations its amplitude reduced to 
of initial value. What will be its amplitude, when it completes 200 oscillations?
Text Solution
Verified by ExpertsD
This is a case of damped vibration as the amplitude of vibration is decreasing with time.
Amplitude of vibrations at any instant 
is given by 
, where 
is the initial amplitude of vibrations and 
is the damping constant.
Now, when 
[ 
is time period] Let the amplitude be 
at 
. after completing 200 oscillations.
(i)
and 
(ii) From (i), 
From (ii), 
The amplitude will be reduced to 1/9 of initial value.
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