The refractive indices of water and glass are and respectively. Write the relation and find the value of refractive index of water with respect to glass and glass with respect to water.
Answers
The speed of light in a medium of refractive index \mu is
\frac{c}{\mu} , where c speed of light in air.
Since the speed of light in glass is 2*10^8 , the speed of light in air is
2*10^8 (\frac{3}{2} )=3*10^8 .
So the speed of light in water is
\frac{3*10^8}{4/3} =2.25*10^8\;m/s
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Refractive index (glass to water) = 9/8
Refractive index (water to glass) = 8/9
Explanation:
Question is incomplete. The full question from the text book is given below for your reference:
"Given the refractive index of water and glass is 4/3 and 3/2 respectively.Write the relation and find the value of refractive index of water with respect to glass and glass with respect to water."
Given N(ga) = 3/2 and N(wa) = 4/3
Hence refractive index of glass with respect to water will be refractive index of gas with respect to air / refractive index of water with respect to air N(gw) = N(ga)/ N(wa) = (3/2) / (4/3) = 9/8
Refractive index of water with respect to glass will be:
N(wg) = N(wa) / N(ga) = (4/3) / (3/2) = 8/9