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* 10 to the power 8, find the speed of light invacuum and water. (* means multiply sign) *
(1) 3* 10 to the power 8 m/s, 3.20 *10 to the
power 8 m/s
(2) 3* 10 to the power 8 m/s, 2.25* 10 to thepower 8 m/s
(3) 3* 10 to the power 8 m/s, 1.50* 10 to the
power 10 m/s
(4) 3* 10 to the power 10 m/s. 8.8* 10 to the
power 8 m/s
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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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