JEE Main 2019PhysicsOscillationsMediumMCQ

JEE Main 2019 — Oscillations Question with Solution

JEE Main 2019 (08 Apr Shift 2)

Question

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 11000 of the original amplitude is close to:

Choose an option

Show full solutionCorrect option: C
Correct answer
C20 s

Step-by-step explanation

f=5
So, T=15
Time taken for amplitude to drop to half: 10T=105=2 s
Now,
A01000=A0(2)t2
(2)t2=1000
t2log2=3
t=6log2≈20 s

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About this question

This is a previous-year question from JEE Main 2019, covering the Oscillations chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.