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Question

Write down the relationship between relative refractive index and absolute refractive index. On which factors does the relative refractive index of a medium depend? [1 + 2]

OR

Show that if a monochromatic light ray passes symmetrically through an equilateral prism then the angle of deviation of that ray will be minimum

WBBSE Class X Physical Science Light – Reflection and Refraction 03 Mark 2024

Answer

Relative refractive index of medium 2 with respect to medium 1:

1μ2 = μ2 / μ1

where μ2 and μ1 are absolute refractive indices of medium 2 and medium 1.

Factors on which relative refractive index depends:

  1. Nature of the two media.
  2. Wavelength (or colour) of the light.

OR

Let the angle of prism A = 60°.

For minimum deviation, the light ray passes symmetrically, i.e. angle

of incidence i = angle of emergence e.

So, angle of refraction r = A/2 = 30°.

Relation:

δmin = 2i – A

Since i = r when symmetrical,

i = A/2 + δmin/2.

Thus, δmin occurs when the ray passes symmetrically through the prism.

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