JEE Main 2022PhysicsMotion In One DimensionMediumMCQ

JEE Main 2022 — Motion In One Dimension Question with Solution

JEE Main 2022 (28 Jun Shift 2)

Question

Velocity v and acceleration a in two systems of units 1 and 2 are related as v2=nm2v1 and a2=a1mn respectively. Here m and n are constants. The relations for distance and time in two systems respectively are

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Show full solutionCorrect option: A
Correct answer
An3 m3 L1=L2 and n2 m T1=T2

Step-by-step explanation

Distance is stated as [L]=v2[a]

 ⇒v22a2=nm2v12a1mn2=n3m3v12a1

Or, we have L2=n3m3L1

Similarly, time T=va

⇒v2a2=nm2v1a1mn=n2mv1a1

So, T2=n2mT1

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About this question

This is a previous-year question from JEE Main 2022, covering the Motion In One Dimension 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.