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Physics
If ε0 and µ0 are respectively the electrical permittivity and magnetic permeability of vacuum, the dimensional formula for (1/√μ0 ε0) is
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Q. If $ε_0$ and $µ_0$ are respectively the electrical permittivity and magnetic permeability of vacuum, the dimensional formula for $\frac{1}{\sqrt{\mu_0 ε_0}}$ is
KEAM
KEAM 2020
A
$MLT$
B
$MLT^{-2}$
C
$ML^{-1}T^{-1}$
D
$M^{\circ} LT^{-1}$
E
$ M^{\circ}L^{-2}T$
Solution:
$\frac{1}{\sqrt{\mu_{0} \varepsilon_{0}}}=$ speed of light in vaccum (c)
$\therefore $ dimension of
$C=M^{\circ} L T^{-1}$