Question

(1) The speed of light in water and glass is 2.2 x 108 m/s and 2 x 10 8 m/s respectively.
What is the refractive index of :
(i) water with respect to glass.
(ii) glass with respect to water.

Answer 1

Answer:

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Explanation:

In this case, the refractive index of glass with respect to water is given as:

In this case, the refractive index of glass with respect to water is given as: n=speedoflightinglass(v2)speedoflightinwater(v1)

In this case, the refractive index of glass with respect to water is given as: n=speedoflightinglass(v2)speedoflightinwater(v1)where, the speed of light in water medium v1=2.2×108m/s and  the speed of light in glass medium v2=2×108m/s.

In this case, the refractive index of glass with respect to water is given as: n=speedoflightinglass(v2)speedoflightinwater(v1)where, the speed of light in water medium v1=2.2×108m/s and  the speed of light in glass medium v2=2×108m/s.Therefore, n=2×108m/s2.2×108m/s=1.1.

In this case, the refractive index of glass with respect to water is given as: n=speedoflightinglass(v2)speedoflightinwater(v1)where, the speed of light in water medium v1=2.2×108m/s and  the speed of light in glass medium v2=2×108m/s.Therefore, n=2×108m/s2.2×108m/s=1.1.Hence, the refractive index of the transparent medium is 1.1