Dimension of frac{mathrm{B}^{2}}{2 μ_{0}} , where mathrm{B} is magnetic field and μ_{0} is magneti

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1.Units, Dimensions and Measurement

medium

The dimension of $\frac{\mathrm{B}^{2}}{2 \mu_{0}}$, where $\mathrm{B}$ is magnetic field and $\mu_{0}$ is the magnetic permeability of vacuum, is

A

$M L^{-1} T^{-2}$

B

$\mathrm{ML}^{2} \mathrm{T}^{-1}$

C

$\mathrm{ML} \mathrm{T}^{-2}$

D

$\mathrm{ML}^{2} \mathrm{T}^{-2}$

(JEE MAIN-2020)

Solution

Magnetic energy stored per unit volume is $\frac{\mathrm{B}^{2}}{2 \mu_{0}}$

Dimension is $ML ^{-1} \mathrm{T}^{-2}$

Standard 11

Physics

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