JEE Advanced 2018 Physics - Class 12 JEEAdv18Ph8773 Solution: In electromagnetic theory, the electric and magnetic phenomena…

QJEEAdv18Ph8773: JEE Advanced 2018 Physics - Class 12 JEEAdv18Ph8773 Solution: In electromagnetic theory, the electric and magnetic phenomena…

In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of electric and magnetic quantities must also be related to each other. In the questions below,

[E]

and

[B]

stand for dimensions of electric and magnetic fields respectively, while

[ε_{0}]

and

[μ_{0}]

stand for dimensions of the permittivity and permeability of free space respectively.

[L]

and

[T]

are dimensions of length and time respectively. All the quantities are given in

S I

units.

The relation between

[ε_{0}]

and

[μ_{0}]

Multiple Choice Options

A [μ0]=[ε0][L]2[T]−2
B [μ0]=[ε0][L]−2[T]2
C [μ0]=[ε0]−1[L]2[T]−2
D [μ0]=[ε0]−1[L]−2[T]2

Step-by-Step Verified Solution

$c = \frac{1}{\sqrt{μ_{0} ε_{0}}}$

$c^{2} = \frac{1}{μ_{0} ε_{0}}$

$μ_{0} = ε_{0}^{- 1} . c^{- 2}$

$[μ_{0}] = [ε_{0}]^{- 1} [L^{- 2} T^{2}]$

QJEEAdv18Ph8773: JEE Advanced 2018 Physics - Class 12 JEEAdv18Ph8773 Solution: In electromagnetic theory, the electric and magnetic phenomena…

Multiple Choice Options

Step-by-Step Verified Solution

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