JEE Main 2022PhysicsOscillationsMediumMCQ

JEE Main 2022Oscillations Question with Solution

JEE Main 2022 (26 Jul Shift 1)

Question

When a particle executes simple Harmonic motion, the nature of graph of velocity as function of displacement will be

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Show full solutionCorrect option: B
Correct answer
BEllipitical

Step-by-step explanation

The displacement equation of a particle is given by 

x=Asinωt+ϕsinωt+ϕ=xA

The velocity equation is given by,

v=ωAcosωt+ϕcosωt+ϕ=vωA

Since, sin2θ+cos2θ=1

x2A2+v2ω2A2=1

The above equation represents an ellipse.

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About this question

This is a previous-year question from JEE Main 2022, 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.