JEE Main 2020PhysicsUnits and DimensionsMediumMCQ

JEE Main 2020 — Units and Dimensions Question with Solution

JEE Main 2020 (02 Sep Shift 2)

Question

If momentum(P), area (A) and time (T) are taken to be the fundamental quantities then the dimensional formula for energy is :

Choose an option

Show full solutionCorrect option: C
Correct answer
CPA1/2T-1

Step-by-step explanation

Let dimension formula of energy will be

E=AaTbPc
P=M1L1T-1
A=L2
T=T1
M1L2T-2=MCL2a+cTb-c
by comparison C=1.........1
2a+c=2......2
b-c=-2........3
c=1,  a=1/2,b=-1
E=A1/2T-1P1

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About this question

This is a previous-year question from JEE Main 2020, 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.