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What is the speed of light in a medium of refractive index $\frac {6}{5}$ if its speed in air is 3,00,000 km/s?
Given:
Speed of light in air = 3,00,000 km/s
Refractive index of the medium = $\frac {6}{5}$
To find: Speed of light in the given medium.
Solution:
From the formula of refractive index, we know that:
$Refractive\ index\ of\ a\ medium=\frac{Speed\ of\ light\ in\ air}{Speed\ of\ light\ in\ medium}$
Substituting the given values in the formula, we get-
$\frac {6}{5}=\frac {3,00,000}{Speed\ of\ light\ in\ medium}$
$Speed\ of\ light\ in\ medium=\frac {5\times 300000}{6}$
$Speed\ of\ light\ in\ medium=5\times 50000$
$Speed\ of\ light\ in\ medium=250000km/s$
Thus, the speed of light in the given medium is 2,50,000 km/s.
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