Question

Speed of light in glass is 2 *108m /s. Find the refractive index of glass

Answer 1

$\huge \fcolorbox{red}{pink}{Solution :)}$

Given ,

Speed of light in glass = 2 × (10)^8 m/s

We know that , the ratio of speed of light in vacuum to the speed of light in medium is called refractive index

$\mathtt{ \fbox{Refractive \: index = \frac{Speed \: of \: light \: in \: vacuum}{Speed \: of \: light \: in \: medium} \: }}$

Substitute the known values , we get

$\sf \hookrightarrow Refractive \: index = \frac{3 \times {(10)}^{8} }{2 \times {(10)}^{8} } \\ \\ \sf \hookrightarrow Refractive \: index = 1.5$

Hence , the refractive index of glass is 1.5

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Answer 2

Refractive index of glass is 1.5 .

refractive index of glass with respect to air is equal to

speed of light in air divided by speed of light in glass.

Thus,

refractive index_glass with respect to air =

speed of light in air / speed of light in glass

Thus,

= 3×10^8 / 2×10^8

= 3 /2 ( since we can cancel 10^8 by 10^8)

= 1.5 = refractive index of glass