Question

speed of light in water is 2.25×10tothe power of 8m/s if the speed of light in vacuum is 3×10 to the power of 8 m/s then find the absolute refractive index of water

Answer 1

Hello,

Refractive index is simply a ratio.

Also,
Theoretically it is proved that
Absolute refractive index of medium x is equal to
$\frac{speed \: of \: light \: in \: medium \: \: x}{speed \: of \: light \: in \: vacuum}$
Now

Here the medium x is water.
Given that
Speed of light in :-
Water =
$2.25 \times {10}^{8} \frac{m}{sec}$
Vacuum=

$3 \times {10}^{8} \frac{m}{sec}$
Now,

Putting in the formula we get.:-

Absolute refractive index =
$\frac{2.25 \times {10}^{8} }{3 \times {10}^{8} } \\ \\ = \frac{2.25}{3} = \frac{225}{3 \times 100} \\ = \frac{9}{3 \times 4} = \frac{3}{4}$



So, the answer is 3/4

Hope this will be helping you ✌️

Answer 2

Refractive index is simply a ratio.

Also,

Theoretically it is proved that

Absolute refractive index of medium x is equal to

Now

Here the medium x is water.

Given that

Speed of light in :-

Water =

Vacuum=

Now,

Putting in the formula we get.:-

Absolute refractive index =

So, the answer is 3/4

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