0:00
Hi there.
00:01
So for this problem, the first thing that we need to determine is the index of refraction of quars at this wavelength.
00:10
So we are given a wavelength.
00:14
And when the light is traveling in quars, so that will be, going to put that hue to differentiate, so that will be 355 nanometers.
00:32
Also given that light travels at a speed of, i'm gonna put that in here, speed on the quars, the speed of light on the quars in the quars is 1 .94 times 10 to 8 meters per second.
00:53
So the first question is, what is the index of repruption of the quars? so we know that light travels slower in any material that it is not the vacuum.
01:10
So if we compare the speed of light in earth compared to the speed of light in quartz, we will obtain that the speed of light in quartz is less than the speed of light in earth so that.
01:30
We know that the speed of light in earth is approximately three times 10 to the 8 meters per second.
01:39
And we are also given the velocity at which light travels in quasars.
01:45
So we note that that velocity in quasar should be the speed of light over the indus of refraption.
02:00
And this indes of refraption should be greater than zero so that we can obtain in here a velocity less than the speed of light.
02:14
So we note these two values, so we just simply solve for the index of reflection, the refraction of the quasars, so it will be c over the below.
02:31
The speed of light in earth over the speed in quassar.
02:39
So that will be, we know these two values.
02:42
This is three times 10 to the 8 meters per second.
02:46
And the speed of light in quar's is 1 .94 times 10 to 8 meters per second.
02:58
And this gives us a value of 1 .56.
03:19
So this is the index of refruption of quarks.
03:24
And it is, we can verify this result because it is a value greater than zero.
03:36
So for part b of this problem, we are asked, to determine the wavelength when the light travels through air...