1) 1.359, 1.403
2) ,
Explanation:
The described situation is known as Refraction.
Refraction is a phenomenon in which a wave (the light in this case) bends or changes it direction when passing through a medium with a refractive index different from the other medium.
In this context, the Refractive index is a number that describes how fast light propagates through a medium or material, and is defined as the relation between the speed of light in vacuum (
) and the speed of light
in the second medium:
(1)
On the other hand we have the Snell’s Law:
(2)
Where:
is the first medium refractive index . We are told is the air, hence
is the second medium refractive index
is the angle of the incident ray
is the angle of the refracted ray
Knowing this, let's begin with the answers:
<h2><u>1) Indexes of refraction for red and violet light</u></h2><h2 /><h2>1a) Red light</h2>Using equation (2) according to Snell's Law and
:
Finding :
(3)>>>Index of Refraction for red light
Again, using equation (2) according to Snell's Law and
:
Finding :
(4) >>>Index of Refraction for violet light
Here we are going to use equation (1):
Substituting (3) in this equation:
>>>>Speed of red light
Using again equation (1):
Substituting (4) in this equation:
>>>>Speed of violet light