The refractive index of water with respect to vacuum is and refractive index of vacuum with respect to glass is . If the speed the speed of light in glass is 2 × 108 ms-1, find the speed of light in (i) vacuum, (ii) water.

Given;

Refractive index of (R.I) water w.r.t vacuum;


Refractive index (R.I) of vacuum w.r.t glass ;


Refractive index (R.I) of glass to vacuum will be =


Refractive index of glass to water =


Refractive index of glass w.r.t water =




speed of light in water


speed of light in water


Thus, speed of light in water = 2.25 × 108.


Refractive index of water w.r.t vacuum = vμw ;






Thus, speed of light in vacuum is 3 × 108 m/s.


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