Question

If ${\epsilon }_0$ and ${\mu }_0$ are respectively the electrical permittivity and magnetic permeability of vacuum, the dimensional formula for $\frac{1}{\sqrt{{\mu }_0{\epsilon }_0}}$ is

• A. $MLT$
• B. $ML{T}^{-2}$
• C. $M{L}^{-1}{T}^{-1}$
• D. $M^{\circ }L{T}^{-1}$
• E. $M^{\circ }{L}^{-2}T$

Answer 1

Answer: (D)

$\frac{1}{\sqrt{{\mu }_0{\epsilon }_0}}=$ speed of light in vaccum (c)
$\therefore$ dimension of
$C=M^{\circ }L{T}^{-1}$