Question

The absolute refractive indices of glass and water are 4/3 and 3/2 respectively. If the speed of light in glass is 2 x 10^8 m/s, calculate the speed of light in
(i) vacuum,
(ii) water.​

Answer 1

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Answer 2

Answers-

• (i) v = 3 x 10^8m/s
• (ii) w = 2 x 10^8m/s.

Solution-

Given,

Air/Glass = 4/3

Air/water = 3/2

Speed of light in glass = 2x10^8m/s

Solution (i)

As,

Refractive index of glass = Speed of light in vaccum/ Speed of light in glass

=> 4/3 = v/2 x 10^8

=> 3v = 4 x 2 x 10^8

=> v = 8 x 10^8 / 3

=> v = 2.6 x 10^8 m/s

Or it can be considered as

=> v = 3 x 10^8m/s

Solution (ii)

Now,

Refractive index of water = Speed of light in vaccum/ Speed of light in water

=> w = v/n

3 x 10^8

=> w = -------------------

3/2

3 x 2 x 10^8

=> w = ---------------------

3

=> w = 2 x 10^8m/s

Used Term-

Absolute Refractive Index- Comparison of any medium's refractive index to air or vaccum is known as absolute Refractive index. It is considered as standard form of refractive index.