JEE Main 2015PhysicsOscillationsMediumMCQ

JEE Main 2015Oscillations Question with Solution

JEE Main 2015 (11 Apr Online)

Question

A pendulum with the time period of 1 s is losing energy due to damping. At a certain time, its energy is 45 J. If after completing 15 oscillations its energy has become 15 J, then its damping constant (in s-1) will be

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Show full solutionCorrect option: C
Correct answer
C130ln3

Step-by-step explanation

Energy of a damping oscillator is E=E0e-2γt at time t where γ=damping constant, E' =Eoe-2γt15=45e-2γ15γ=130ln(3)

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About this question

This is a previous-year question from JEE Main 2015, 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.