Answer:
Refractive index of oil will be equal to 1.802
Explanation:
We have given light is incident on water surface at an angle of [tex]33^{\circ}[/tex]
Let the refractive index of oil is [tex]n_1[/tex]
Light is refracted in the water at an angle of [tex]47.5^{\circ}[/tex]
Refractive index of water is [tex]n_2=1.33[/tex]
We have to find the refractive index oil
From law of refraction [tex]n_1sin\Theta_1=n_2sin\Theta _2[/tex]
[tex]n_1\times sin33^{\circ}=1.33\times sin47.5^{\circ}[/tex]
[tex]n_1\times 0.544=1.33\times 0.737[/tex]
[tex]n_1=1.802[/tex]
So refractive index will be equal to 1.802
