JEE Main 2022PhysicsUnits and DimensionsEasyMCQ

JEE Main 2022 — Units and Dimensions Question with Solution

JEE Main 2022 (24 Jun Shift 2)

Question

Identify the pair of physical quantities that have same dimensions:

Choose an option

Show full solutionCorrect option: A
Correct answer
AVelocity gradient and decay constant

Step-by-step explanation

Decay constant is measured per unit time, λ=s-1

So, its dimension is  λ=T-1

We know velocity gradient is defined as rate of change in velocity per unit of distance. So, dimension of velocity gradient is 

dvdx=L1T-1L1=T-1

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Units and Dimensions chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2022, covering the Units and Dimensions 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.