Answer
The index of refraction of medium is 1.5 .
Explanation:
Equation for index of refraction is given by .
[tex]n = \frac{c}{v}[/tex]
Where n is index of refraction in medium , v is speed of light in the medium and c is the speed of light in air .
As given
Light traveling through air at [tex]3.00\times 10^8[/tex] m/s reaches an unknown medium and slows down to [tex]3.00\times 10^8[/tex] m/s.
[tex]c = 3.00\times 10^{8}[/tex]
[tex]v = 2.00\times 10^{8}[/tex]
Putting the values in the formula
[tex]n = \frac{3.00\times 10^{8}}{2.00\times 10^{8}}[/tex]
Solving the above
n = 1.5
Therefore the index of refraction of medium is 1.5 .
