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The refractive index of glass is $1.5$. Calculate the speed of light in glass. The speed of light in air is $3.0\times {10^8}\ ms^{-1}$.
Given:
Refractive index of glass = $1.5$
Speed of light in air = $3.0\times {10^8}m/s$
To find: Speed of light in glass.
Solution:
From the formula for refractive index, we know that-
$Refractive\ index\ of\ a\ medium=\frac {Speed\ of\ light\ in\ air}{Speed\ of\ light\ in\ medium}$
For glass:
$Refractive\ index\ of\ glass=\frac {Speed\ of\ light\ in\ air}{Speed\ of\ light\ in\ glass}$
Substituting the given value, we get-
$1.5=\frac {3.0\times {10^8}m/s}{Speed\ of\ light\ in\ glass}$
$Speed\ of\ light\ in\ glass=\frac {3.0\times {10^8}m/s}{1.5}$
$Speed\ of\ light\ in\ glass=2.0\times {10^8}m/s$
Thus, the speed of light in glass is $2.0\times {10^8}m/s$.
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