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JEE Main 20252 AprilEvening Shift

Exam: JEE Main
Year: 2025
Date: 2 April
Shift: Evening Shift
Subject: Physics
Chapter: Units and Dimensions

JEE Main 2025 · 2 April · Evening Shift · Physics · Units and Dimensions

If μ_0 and _0 are the permeability and permittivity of free space,...

If

\mu_0

and

\varepsilon_0

are the permeability and permittivity of free space, respectively, then the dimension of

\left(\frac{1}{\mu_0 \varepsilon_0}\right)

is :

Options

A $\mathrm{L} / \mathrm{T}^2$
B $L^2 / T^2$
C $T^2 / L$
D $\mathrm{T}^2 / \mathrm{L}^2$

Correct answer

B. $L^2 / T^2$

Step-by-step solution

\mathrm{C}=\frac{1}{\sqrt{\mu_0 \varepsilon_0}} \Rightarrow \frac{1}{\mu_0 \varepsilon_0}=\mathrm{C}^2=\mathrm{L}^2 \mathrm{~T}^{-2}

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