First slide

Electromagnetic waves and its nature

Question

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

Moderate

A

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

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

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

$M L T^{- 2}$

Solution

Energy density in magnetic field $= \frac{B^{2}}{2 μ_{0}}$
$= \frac{Force \times displacement}{{(displacement)}^{3}} = \frac{M L T^{- 2} L}{L^{3}} = M L^{- 1} T^{- 2}$

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