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Q. A new system of units is evolved in which the values of $\mu_0$ and $\epsilon_0$are 2 and 8 respectively. Then the speed of light in this system will be

VITEEEVITEEE 2006

Solution:

Velocity of electromagnatic wave in space
is $c=\frac{1}{\sqrt{\mu_0\epsilon_0}} \Rightarrow c=\frac{1}{\sqrt{2×8}}$
$=\frac{1}{\sqrt{16}}=\frac{1}{4}=0.25$