00:01
Hi there.
00:01
So for this problem, we are told that violet light and red light travel through earth and strike a block of plastic at the same angle of incidence.
00:10
The angle of refraption for violet, we're going to call this theta b, is equal to 30 .4 degrees.
00:22
And for red light, the angle of refraption is equal to 31 .1 .2 degrees.
00:32
2 degrees.
00:34
So the index of refraption of violet light in plastic is greater than that of the light by 0 .04 times.
00:45
So we are told that the index of refraption of violet is equal to 0 .04 times the index of refraction of the red light.
01:10
Okay, so this is the sum of, these values by this value is that it is greater so we're going to have this in here this condition so what we are going to use to solve this problem is this nils law so we're going to have that then we know that the angle of incidence signed sorry the angle we're going to have that this nils last is n a sign of is equal to nb sign of tita b where m a is the angle tita a is the angle of incidence and teta b is the angle of refraption and n a and b are the reflective the refractive index so for violet we know that we are going to have that the index of refraption of violet is equal to um the the sign of the angle that is given, that value that for violet is equal to 30 .4 degrees, and this divided by the sign of the angle of theta incidence in this case.
02:39
Remember that for both cases, it's going to be the same.
02:43
And for the red one, we're going to have that the index of refraption of the red is equal to the sign of the angle given for the case of red, which is 31 .2 .2 degrees, and this divided by also the sign of the angle of incidence.
03:07
Now, what we are going to do is to take the ratio between these two values, so we can get rid of the sign of the angle of incidence.
03:15
So we're going to obtain that the indeserruption from violet light divided by the indisorruption for red light is going to be equal to the sign of 30 .30 .4 degrees divided by the sign of 31 .2 degrees.
03:41
So if we use our calculator, the value that we obtained from this is 0 .976.
04:01
So if we solve for the index of refraption of violet, we obtain that this is equal to 0 .9768 times the index of refraption of red...