The sped of light in water is
2.25
×
10
8
m
/
s
and that in glass in
2
×
10
8
m
/
s
.Find the refractive index of (i) the glass with respect to water (ii) water with respect to the glass.
Answer (1)
(i) 1.25(ii) 0.889The refractive index of medium 2 with respect to medium 1 is:n₂₁ = v₁/v₂Given:Speed of light in water = 2.25 × 10⁸ m/sSpeed of light in glass = 2 × 10⁸ m/s(i) Refractive index of glass with respect to water:n_glass,water = v_water/v_glassn_glass,water = (2.25 × 10⁸)/(2 × 10⁸)n_glass,water = 1.125(ii) Refractive index of water with respect to glass:n_water,glass = v_glass/v_watern_water,glass = (2 × 10⁸)/(2.25 × 10⁸)n_water,glass = 0.8889 or 0.889
