The refractive index of glass with respect to air is 1.5. The speed of light in glass will be

  1. 2 × 108 m / sec
  2. 3 × 108 m / sec
  3. 1.33 × 108 m / sec
  4. 4.5 × 108 m / sec

Answer (Detailed Solution Below)

Option 1 : 2 × 108 m / sec
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Detailed Solution

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CONCEPT:

Refractive index: 

  • The ratio of the speed of light in a vacuum to speed of light in a medium is called the refractive index of that medium.
  • It is also called an absolute refractive index.

\({\rm{Refractive\;index\;}}\left( μ \right) = {\rm{\;}}\frac{{Speed\;of\;light\;in\;vaccum\left( C \right)}}{{Speed\;of\;light\;in\;a\;medium\left( v \right)}}\)

EXPLANATION:

Given - Refractive index (μ) = 1.5

  • Mathematically the refractive index can be written as

\(⇒ {Speed\;of\;light\;in\;a\;medium\left( v \right)} = {\rm{\;}}\frac{{Speed\;of\;light\;in\;vaccum\left( C \right)}}{{\rm{Refractive\;index\;}}\left( μ \right)}\)

\(⇒ v = \frac{3 ×10^8}{1.5}=2× 10^8 \, m/s\)

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