If E and B denote electric and magnetic field | vedclass

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(A) The speed of light in vacuum is given by $c = \frac{1}{\sqrt{\mu_0 \varepsilon_0}}$.For an electromagnetic wave,the ratio of the magnitude of the

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$\sqrt {{\mu _0}{\varepsilon _0}} \frac{E}{B}$

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(A) The speed of light in vacuum is given by $c = \frac{1}{\sqrt{\mu_0 \varepsilon_0}}$.For an electromagnetic wave,the ratio of the magnitude of the electric field to the magnetic field is equal to the speed of light,i.e.,$\frac{E}{B} = c$.Substituting this into the expression in option $A$:$\sqrt{\mu_0 \varepsilon_0} \cdot \frac{E}{B} = \sqrt{\mu_0 \varepsilon_0} \cdot c = \sqrt{\mu_0 \varepsilon_0} \cdot \frac{1}{\sqrt{\mu_0 \varepsilon_0}} = 1$.Since $1$ is a dimensionless constant,the expression $\sqrt{\mu_0 \varepsilon_0} \frac{E}{B}$ is dimensionless.

If $E$ and $B$ denote electric and magnetic fields respectively,which of the following is dimensionless?

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