JEE Main 2021PhysicsOscillationsHardMCQ

JEE Main 2021 — Oscillations Question with Solution

JEE Main 2021 (01 Sep Shift 2)

Question

A mass of 5 kg is connected to a spring. The potential energy curve of the simple harmonic motion executed by the system is shown in the figure. A simple pendulum of length 4 m has the same period of oscillation as the spring system. What is the value of acceleration due to gravity on the planet where these experiments are performed ?

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Show full solutionCorrect option: A
Correct answer
A4 m s-2

Step-by-step explanation

From the figure, A=2 m

12mω2A2=10
12mω2(2)2=10
mω2=5
5ω2=5
ω2=1
ω=1
T=2πω=2π
2πℓgp=2π
2π4gp=2π
gp=4m/s2

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About this question

This is a previous-year question from JEE Main 2021, 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.