Refractive index of glass is 3/2 and refractive index of water is 4/3 . What is the refractive index of glass with respect to water . Find the speed of light in water if speed of light in glass is 2 x 10^3 m/s.
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To find the refractive index of glass with respect to water..
We have,
Refractive index of water wrt air= 4/3
Refractive index of glass wrt to air = 3/2
Then,
Refractive index of air wrt water
= 1/(refractive index of water wrt air)
= 1/(4/3) = 3/4
Therfore, Refractive index of glass wrt water
= (Refractive index of glass wrt air) × (refractive index of air wrt water)
= (3/2) × (3/4)
= 9/8...
To find the speed of light in water..
We have..
Refractive index, n = c/v
Where n is refractive index, c is the speed of light and v is phase velocity of light in the medium.
The refractive index of water, n = 1.33
This implies 1.33 = 2.99 x 10 ^8/v
Therefore, v = 2.25 x 10^8 metres per second
Which is the speed of light in glass
Hope it helps you.
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