Home Physics Simple Harmonic Motion (Oscillations) Mix When an oscillator completes 100 oscillation…
Physics Simple Harmonic Motion (Oscillations) Mix MCQ (Single Correct)

When an oscillator completes 100 oscillation its amplitude reduced to of initial value. What will be its amplitude, when it completes 200 oscillation:

A
B
C
D

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Verified by Experts
The correct answer is:
D

Its is a damped oscillation, where amplitude of oscillation at time is given by

where initial amplitude of oscillation
damping constant
As per question, (i)
(where v is the frequency of oscillation)
and ....(ii)
From (i); … .(iii)
Dividing equation (ii) by (iii), we have

or

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