JEE Main 2021PhysicsUnits and DimensionsMediumMCQ

JEE Main 2021Units and Dimensions Question with Solution

JEE Main 2021 (31 Aug Shift 1)

Question

Which of the following equations is dimensionally incorrect?

Where t=time, h=height, s=surface tension, θ=angle, ρ=density ,a,r=radius, g= the acceleration due to gravity, V=volume, p=pressure, W=work done, τ=torque, ϵ=permittivity, E=electric field, J=current density, L=length.

Choose an option

Show full solutionCorrect option: B
Correct answer
BV=πpa48ηL

Step-by-step explanation

Dimensions of πpa48ηL(volume flow rate) is L3 T1.

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 2021, 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.