Advertisement Remove all ads

Advertisement Remove all ads

Advertisement Remove all ads

Numerical

If in a medium, the speed of light is 1.5 × 10^{8} m/s how much will the absolute refractive index of that medium be?

**Solve the example.**

If the speed of light in a medium is 1.5 × 10^{8} m/s, what is the absolute refractive index of the medium?

Advertisement Remove all ads

#### 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 (v_{2}) = 1.5 × 10^{8} m/s,

velocity of light in vacuum (v_{1}) = 3 × 10^{8} m/s

**To find:** Absolute refractive index (n)

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

**Calculation:** From the formula,

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

The absolute refractive index of the medium is 2.

Concept: Refractive Index

Is there an error in this question or solution?