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Question : 22
Total: 36
(a) State the laws of refraction of light. Explain the term absolute refractive index of a medium and write an expression to relate it with the speed of light in vacuum.
(b) The absolute refractive indices of two media 'A' and 'B' are 2.0 and 1.5 respectively. If the speed of light in medium 'B ' is 2 × 10 8 m ∕ s , calculate the speed of light in :
(i) vacuum,
(ii) medium 'A'.
(b) The absolute refractive indices of two media 'A' and 'B' are 2.0 and 1.5 respectively. If the speed of light in medium '
(i) vacuum,
(ii) medium 'A'.
Solution:
(a) Laws of refraction of light:
(i) Incident ray travelling from one medium to another, bend in such a way that the incident ray, refracted ray and the normal ray, at the point of incidence, all lie in the same plane.
(ii) The ratio of sine of angle of incidence (i) to the sine of angle of refraction( r ) is constant for a given pair of media.
i.e.
= constant
Absolute refractive index of a medium is the ratio ofs i n i to s i n r .
Absolute refractive index
=
(b) Given:n A = 2.0 , n B = 1.5 , speed of light in medium B ( v B ) = 2 × 10 8 m ∕ s , speed of light in medium v A = ?
(i)n B =
=
c = n B × v B = 1.5 × 2 × 10 8 = 3 × 10 8 m ∕ s .
(ii)n A =
v A =
=
= 1.5 × 10 8 m ∕ s
(i) Incident ray travelling from one medium to another, bend in such a way that the incident ray, refracted ray and the normal ray, at the point of incidence, all lie in the same plane.
(ii) The ratio of sine of angle of incidence (i) to the sine of angle of refraction
i.e.
Absolute refractive index of a medium is the ratio of
Absolute refractive index
(b) Given:
(i)
(ii)
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