00:01
All right, so your question is all about snell's law of refraction and how we can make predictions about the different wavelengths of white light.
00:13
So the problem gives us how do we find the index of refraction in a relative estimation where we can find the index of refraction is equal to a plus b divided by wavelength squared.
00:28
So i'm going to solve a problem with the green wavelength, which i wrote down.
00:36
Now, the thing to remember is everything needs to be in like terms.
00:40
So if we're going to use meters for b, we need to use meters for wavelength as well.
00:46
So i've changed my nanometers into meters.
00:51
That nano means times 10 to the negative 9.
00:54
So 550 times 10 to the negative 9 meters is the wavelength of green light.
00:59
Now, overall to the left, i made an illustration of what snell's law is.
01:06
As i enter, say i have a beam of red light entering a prism of glass, it's going to alter its angle as it enters.
01:19
And that angle change is what we call a refraction.
01:23
And every wavelength of light has a unique refraction.
01:27
That's why we get the rainbow effect that we do when we see.
01:30
A prism.
01:34
Now for air, air is very close to an index of refraction of one.
01:40
So we're not going to factor that in when we do our equation.
01:50
So the sine theta in this case is the 50 degrees.
01:54
It's going to enter the piece of glass at 50 degrees.
02:00
And what we need to find for n2 is taking these numbers.
02:06
That we were given and plug them into the index of refraction equation that was given.
02:22
So i'm doing this for green light.
02:26
And notice that the only thing that's missing now is what we're asked to find, which is the angle at which the green light is going to bend from 50 degrees to some other value...