(ii) If the absolute refractive indices of glass and water are
3
2
12
and
3
respectively, what is the refractive index of glass with respect to water?
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Answer:
Answer
Given : n
water
=
3
4
n
glass
=
2
3
v
glass
=2×10
8
m/s n
air
=1
Speed of light in a medium v
medium
=
n
c
where c and n are the speed of light in vacuum and refractive index of medium respectively.
(a) : v
glass
=
n
glass
c
∴ 2×10
8
=
(3/2)
c
⟹c=3×10
8
m/s
(b) : v
water
=
n
water
c
∴ v
water
=
(4/3)
3×10
8
=2.26×10
8
m/s
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