The refractive index of air with respect to glass is 2/3 and the refractive
index of water with respect to air is 4/3. If the speed of light in glass is 2 x
10 m/s, find the speed of light in (a) air, (b) water
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Answer:
Explanation: 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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