Question

The refractive index of water with respect to vacuum is 4/3 and refractive index of vacuum with respect to glass is 2/3. If the speed of light in glass is 2 x 10 raise to 8 m/s , find the speed of light in ......
a) vacuum,
b) water.......

Answer 1

We know,n = c/v
where, n=refractive index of the given medium c=the sped of light in vacuum and v=the speed of light in the given medium.
Refractive index of water and glass are 4/3 and 3/2 respectively.
For glass 3/2=Speed of light in air / speed of light in glass
32=Speed of light in air2×108
So, speed of light in air=3×108 m / s
For water , 4 / 3= Speed of light in air / Speed of light in water
4 3 = 3 × 10 8 Speed of light in water So , Speed of light in water= 2 . 25 × 10 8 m / s

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Answer 2

Explanation:

3/2=c/2×10^8

=3×10^8

nw=c/v

4/3=3×10^8/v

=2.25×10^8