Practicing Success
A layer of oil 3cm thick is floating on a layer of coloured water 5cm thick. Refractive index of coloured water is 5/3 and the apparent depth of the two liquids appears to be 36/7 cm. Find the refractive index of oil. |
1.2 1.3 1.4 1.5 |
1.4 |
Apparent depth (AI) = $\frac{t_1}{μ_1}+\frac{t_2}{μ_2}$ $∴\frac{36}{7}=\frac{5}{5/3}+\frac{3}{μ_2}$ $∴\frac{3}{μ_2}=\frac{36}{7}-3=\frac{15}{7}$ $∴μ_2=\frac{7}{5}=1.4$ |