JEE Main 2021PhysicsUnits and DimensionsMediumMCQ

JEE Main 2021 — Units and Dimensions Question with Solution

JEE Main 2021 (27 Jul Shift 2)

Question

Match List I with List II.

  List-I   List-II
a Capacitance, C i M1 L1 T-3 A-1
b Permittivity of free space, ε0 ii M-1 L-3 T4 A2
c Permeability of free space, μ0 iii M-1 L-2 T4 A2
d Electric field, E iv M1L1T-2A-2

Choose the correct answer from the options given below

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Show full solutionCorrect option: A
Correct answer
A (a) → (iii), (b) →(ii),(c)→(iv),(d)→ (i)

Step-by-step explanation

q=CV

[C]=qV=(A×T)2ML2 T-2

=M-1 L-2 T4 A2

[E]=Fq=MLT-2AT

=MLT-3 A-1

F=q1q24π∈0r2

ϵo=M-1 L-3 T4 A2

Speed of light c=1μ0∈o

μ0=1ϵ0c2

μ0=1M-1 L-3 T4 A2LT-12

=M1 L1 T-2 A-2

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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.