**Refractive index of water with respect to air is 1.33 and that of diamond is 2.42. **

**(i)** In which medium does the light move faster, water or diamond?

**(ii)** What is the refractive index of diamond with respect to water?

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Refractive index = \(\frac{speed\,of\,light\,in\,vacuum}{speed\,of\,light\,in\,medium}\)

Since the refractive index of diamond is more, hence the speed of light is lesser in diamond.

Let speed of light in water vev_{w} and in diamond bev_{d}.

Refractive index of diamond w.r.t water is say **n** = \(\frac{speed\,of\,light\,in\,water}{speed\,of\,light\,in\,diamond}\)

\(n=\frac{V_w}{V_d}\)

Dividing both numerator and denominator by speed of light [c] we get

n = (\(\frac{V_w}{c}\)) ÷ (\(\frac{V_d}{c}\)) = Inverse Ratio of refractive index of water and diamond.

n=\(\frac{2.42}{1.33}\) = 1.82 (approx)

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