the refractive index of water respect respect to air is 1.2 . the obsolete refractive index of a colloidal solution is 1.65 . calculate the refractive index of colloidal solution with respect to water. velocity of light in air air is 2.85 x 10 raise to 8 m/sec
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Class 12
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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
Solution
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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