QJEEAdv21Ph5e36: JEE Advanced 2021 Physics - Class 11 JEEAdv21Ph5e36 Solution: A physical quantity S → is defined as S → = ( E → × B → ) / μ 0 …

Question

Verified Solution • 2025–26 Session moderate

A physical quantity

\vec{S}

is defined as

\vec{S} = (\vec{E} \times \vec{B}) / μ_{0}

, where

\vec{E}

is electric field,

\vec{B}

is magnetic field and

μ

₀ is the permeability of free space. The dimensions of

\vec{S}

are the same as the dimensions of which of the following quantity(ies)?

Accepted Answer

Dimension of electric field

[E] = [M A^{- 1} L T^{- 3}]

Dimensions of magnetic field [B]

[B] = [M A^{- 1} L T^{- 2}]

Dimensions of magnetic permebility

[μ_{0}] = [M A^{- 2} T^{- 2} L]

[S] = \frac{E B}{μ_{0}} = \frac{[M A^{- 1} L T^{- 3}] [M A^{- 1} T^{- 2}]}{[M A^{- 2} T^{- 2} L]} = [M T^{- 3}]

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