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Question

The velocity of light in diamond is 1.25×108 m/s; Find the refractive index of diamond with respect to water (Refractive index of water w.r.t. air is 1.33).

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Solution

μwA=Velocity of light in air(vA)Velocity of light in water(vW)vw=vAμwA=3×1081.33=2.25×108
μDW=Velocity of light in water(vw)Velocity of light in diamond(vD)μDW=2.25×1081.25×108=1.80
WhereμDWandμWA=refractive index of diamond with respect to water and refractive index of water with
respect to air respectively

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