find a speed of light in transparent medium is effective index of the medium is 1.8
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Refractive index = Speed of light in vaccum / Speed of light in medium
n = c / v
v = c / n
= (3 × 10^8 m/s) / 1.8
= 1.67 × 10^8 m/s
Speed of light in given transparent medium is 1.67 × 10^8 m/s
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Answer
The refractive index is given by
n=c/v
Where n is the refractive index
c is the speed of light in vacuum
v is the speed of light in that medium
It is given that speed of light in a medium(v)is1.8∗1000=1.8∗103m/s
Speed of light in vacuum=3∗103m/sec
n=3∗103/1.8∗103
n=3/1.8
=1.6666
=1.67
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