# Solve the Example. If the Speed of Light in a Medium is 1.5 × 108 M/S, What is the Absolute Refractive Index of the Medium? - Science and Technology 1

Numerical

Solve the example.
If the speed of light in a medium is 1.5 × 108 m/s, what is the absolute refractive index of the medium?

#### Solution 1

$\text{ Absolute refractive index of a medium } , \mu = \frac{\text{ Speed of light in air} }{\text{ Speed of light in the medium } }$
$\Rightarrow \mu = \frac{3 \times {10}^8}{1 . 5 \times {10}^8} = 2$

#### Solution 2

Given: Speed of light in medium (v2) = 1.5 × 108 m/s,
velocity of light in vacuum (v1) = 3 × 108 m/s

To find: Absolute refractive index (n)

Formula: n = "v"_1/"v"_2

Calculation: From formula,

n = (3 xx 10^8)/(1.5 xx 10^8) = 2

The absolute refractive index of the medium is 2.

Concept: Refractive Index
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