When the light is travel from here to glass medium the refractive index is known as V1 : V2 if the ratio of the velocity of the light in air to the water is 1:33 state the meaning for these two situations
Answers
Let velocity of light in air be v.
Velocity of light in medium, v
m =nv
where n is the refractive index of the medium.
∴ 0.75v= nv ⟹n= 34
Given : n 1 =1
Using Snell's law of refraction: 1×sini=n×sinr...............(1)
But it is given that angle of incidence is very small, i.e sini≈i
Hence angle of refraction is also very small ⟹sinr≈r
∴ From equation (1), i= 34 r
Now angle of deviation, δ=i−r=i− 43
i ⟹δ= 4i
Answer:
Refractive index is the the ratio of the velocity of light in a vacuum to its velocity in a specified medium.
The refractive index of water with respect to air is 1.33. So, the refractive index of air with respect to water will be the reciprocal.
Therefore, refractive index of air with respect to water will be 1/1.33 = 0.75.
Hence, refractive index of air with respect to water will be 0.75.