The refractive indices of glass and water with respect to vacuum are 3/2 and 4/3 respectively. If the speed of light in glass is 2 x 108 m/s, find the speed of light in (i) vacuum, (ii) water.
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12th
Physics
Ray Optics and Optical Instruments
Refraction of Light and Laws of Refraction
The absolute refractive ind...
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Asked on October 15, 2019 by
Zoya Behl
The absolute refractive index of glass and water are 3/2 and 4/3, respectively. If the speed of light in glass is 2×10
8
m/s, calculate the speed of light in :
(a) vacuum
(b) water
MEDIUM
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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