When an oscillator completes 100 oscillations its amplitude reduced to 
of initial value. What will be its amplitude, when it completes 200 oscillations:
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
In case of damped vibration, amplitude at any instant is
a = a 0 e –bt
where a 0 = initial amplitude
b = damping constant
Ist caes: t = 100 T and a = 
∴ 
= a 0 e –b(100 T)
⇒ e –100 bT = 
IInd caes: t = 200 T
a = a 0 e –bt = a 0 e –b(200 T)
= a 0 (e –100 bT ) 2 = a 0 x 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A mass M, attached to a horizontal spring, executes SHM with a amplitude A 1 . When the mass M pass…
Two particles are executing simple harmonic motion of the same amplitude A and frequency ꞷ along th…
If a simple pendulum has significant amplitude (up to a factor of 1/e of original) only in the peri…
The amplitude of a damped oscillator decreases to 0.9 times its original magnitude is 5s. In anothe…
A particle moves with simple harmonic motion in a straight line. In first τ s, after starting from …
For a simple pendulum, a graph is plotted between its kinetic energy (KE) and potential energy (PE)…