00:01
For this problem on the topic of geometric optics, we are told that a laser beam is incident into a solution of corn syrup in water, and it is incident at an angle of 30 degrees from the vertical.
00:12
It is then refracted to 19 .24 degrees from the vertical.
00:17
And using this information, we want to find the refractive index of the setup solution, the wavelength, frequency, and the speed of this red light in the solution.
00:30
So firstly to find the refractive index will use nl's law, n1, sine theta 1 is equal to n2, sine theta 2.
00:44
So we know the first medium is a, multiplied by the sign of the angle of incidence, which is the sign of 30 degrees, is equal to the refractive index of the solution n times the sign of the angle of refraction, which is a sign of the sign of of 19 .24 degrees.
01:07
This gives the refractive index of the concept solution n to be 1 .52.
01:20
Next we are told that the light has a wavelength of 632 .8 nanometers in vacuum.
01:26
We want to find its wavelength, frequency, and speed in the solution.
01:36
And so we'll do part c first and find its frequency...