MCQ
The dimensional formula for the physical quantityis $\frac{{{E^2}{\mu _0}{\varepsilon _0}}}{{{B^2}}}$ ($E =$ electric field and $B =$ magnetic field)
  • A
    $L^0M^0T^0$
  • B
    $L^1M^0T^{-1}$
  • C
    $L^{-1}M^0T^1$
  • D
    $L^{1/2}M^0T^{-1/2}$

Answer

We know,

$\mu_0 \varepsilon_0=\frac{1}{ c ^2}$

$\frac{E}{B}=c$

$\frac{ E ^2 \mu_0 \varepsilon_0}{ B ^2}=1$

Dimension of $1=\left[ M ^0 L ^0 T ^0\right]$

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