The light rays travel from a glass slab with refractive index $μ_1$, to the second slab with refractive index $μ_2$. The refractive index of the second slab with respect to the first one is: (Assume that the two slabs have the same thickness) |
$1μ_2 = μ_1/μ_2$ $1μ_2 = μ_2/μ_1$ $1μ_2 = μ_1 × μ_2$ $2μ_1 = μ_1/μ_2$ |
$1μ_2 = μ_2/μ_1$ |
The correct answer is Option (2) → $1μ_2 = μ_2/μ_1$ $\text{Given: Refractive indices } \mu_1 \text{ (first medium)},~ \mu_2 \text{ (second medium)}$ $\text{Refractive index of second medium with respect to first: } \mu_{21} = \frac{\text{speed of light in first medium}}{\text{speed of light in second medium}}$ $\text{But } \mu = \frac{c}{v} \Rightarrow v_1 = \frac{c}{\mu_1},~ v_2 = \frac{c}{\mu_2}$ $\mu_{21} = \frac{v_1}{v_2} = \frac{c/\mu_1}{c/\mu_2} = \frac{\mu_2}{\mu_1}$ $\text{Answer: } \mu_{21} = \frac{\mu_2}{\mu_1}$ |