<h2>
Answers: </h2>
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 ![n_{1}\approx 1](https://tex.z-dn.net/?f=n_%7B1%7D%5Capprox%201)
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
<h2>1b) Violet light</h2>
Again, using equation (2) according to Snell's Law and
:
Finding
:
(4) >>>Index of Refraction for violet light
<h2><u>2) Speeds of red and violet light</u></h2><h2 /><h2>1a) Red light</h2>
Here we are going to use equation (1):
Substituting (3) in this equation:
>>>>Speed of red light
<h2>1a) Violet light</h2>
Using again equation (1):
Substituting (4) in this equation:
>>>>Speed of violet light