2n1 : Refractive index of medium 2 with respect to medium 1 : : 1n2 : _______ - Science and Technology 1

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2n1 : Refractive index of medium 2 with respect to medium 1 : : 1n2 : _______

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2n1 : Refractive index of medium 2 with respect to medium 1 : : 1n2Refractive index of medium 1 with respect to medium 2.

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Chapter 6: Refraction of light - Find the correlation.

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State the law of refraction of light that defines the refractive index of a medium with respect to the other. Express it mathematically. How is refractive index of any medium 'A' with respect to a medium 'B' related to the speed of propagation of light in two media A and B? State the name of this constant when one medium is vacuum or air.

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If in a medium, the speed of light is 1.5 × 108 m/s how much will the absolute refractive index of that medium be?


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Speed in first medium, v1 = 3 × 108 m/s 
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The ability of medium to refract light is expressed in terms of its optical density. Optical density has a definite connotation. It is not the same as mass density. On comparing two media, the one with the large refractive index is optically denser medium than the other. The other medium with a lower refractive index is optically rarer. Also the speed of light through a given medium is inversely proportional to its optical density.
  1. Determine the speed of light in diamond if the refractive index of diamond with respect to vacuum is 2.42. Speed of light in vacuum is 3 × 108 m/s. 
  2. Refractive indices of glass, water and carbon disulphide are 1.5, 1.33 and 1.62 respectively. If a ray of light is incident in these media at the same angle (say θ), then write the increasing order of the angle of refraction in these media. 
  3. (A) The speed of light in glass is 2 × 108 m/s and is water is 2.25 × 108 m/s.
    (a) Which one of the two optically denser and why?
    (b) A ray of light is incident normally at the water glass interface when it enters a thick glass container filled with water. What will happen to the path of the ray after entering the glass? Give reason. 
    OR
    (B) The absolute refractive indices of glass and water are 4/3 and 3/2, respectively. If the speed of light in glass is 2 × 108 m/s, calculate the speed of light in (i) vacuum (ii) water.

  1. Explain why the refractive index of any material with respect to air is always greater 1.
  2. In the figure below a light ray travels from air into the semi-circular plastic block. Give a reason why the ray does not deviate at the semi-circular boundary of the plastic block.
  3. Complete the ray diagram of the above scenario when the light ray comes out of the plastic block from the top flat end.

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