The refractive index of water with respect to air is 1.3 and that of glass with respect to air is 1.5. Determine the refractive index of glass with respect to water.
Answers
Given:
The refractive index of water with respect to air, μ (w/a) = 1.3
The refractive index of glass with respect to air, μ (g/a) = 1.5
To Find:
The refractive index of glass with respect to water, μ (g/w).
Calculation:
- The refractive index of glass with respect to water = The refractive index of water with respect to air/ The refractive index of glass with respect to air
μ (g/w) = μ (w/a) / μ (g/a)
⇒ μ (g/w) = 1.3 / 1.5
⇒ μ (g/w) = 0.867
- So, the refractive index of glass with respect to water is 0.867.
μ (g/w) = 1.15
Explanation:
Given: Refractive index of water with respect to air = 1.3
Refractive index of glass with respect to air = 1.5
Find: Refractive index of glass with respect to water.
Solution:
Refractive index of water with respect to air = Refraction index of water / refractive index of air = μ (w/a)
= 1.3 ---- (1)
Refractive index of glass with respect to air = Refraction index of glass / refractive index of air = μ (g/a)
= 1.5 ---- (2)
Dividing equation 2 by 1, we get:
Refraction index of glass / refractive index of air / Refraction index of water / refractive index of air
= Refraction index of glass / refractive index of water
= Refractive index of glass with respect to water
= μ (g/a) / μ (w/a)
= μ (g/w)
= 1.5 / 1.3
= 1.15