light passes from material A, which has an index of refraction of 4/3, into material B, which has an index of refraction of 5/4. (a) the speed of light in material A is greater than, the same as, less than than the speed of light in material B. Explain. (b) find the ratio of the speed of light in material A to that of material B.
a) first material has refractive index 1.333 , so that molecules in this causes the speed of light slower than the speed of light in material b which has less refractive index of 1.25 . It is depending on the molecules inside the material. .
speed of light more in material B.
b)
we know that refractive index of a medium (n) is equal to the speed of light (c) divided by the velocity of light through the medium.
n= c / v
when the refractive index is low, velocity will be high.
we know speed of light in vaccum is 3 x 10 8 m/s which has 2.25 x 10 8 in water.
speed of light in material a = 3 x 10 8 / 4/ 3
= 2.25 x 10 8
speed of light in material b = 3 x 10 8 / 5 / 4
= 2. 4 x 10 8
ratio = 2.25 / 2.4
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