Final answer:
The polarizing angle for the glass plate is approximately 56.31 degrees and the angle of refraction for the transmitted ray is approximately 33.56 degrees.
Step-by-step explanation:
To determine the polarizing angle and angle of refraction for an incident ray at an angle of 50 degrees, we need to use the index of refraction of the glass. The index of refraction for the glass is 1.5. The polarizing angle is the angle of incidence at which the reflected light becomes completely polarized, and it can be calculated using the equation tan(polarizing angle) = n, where n is the index of refraction.
In this case, the polarizing angle is the angle at which light reflected from the glass becomes completely polarized, and it can be found by taking the inverse tangent of the index of refraction: tan(polarizing angle) = 1.5. Solving for the polarizing angle gives us a value of approximately 56.31 degrees.
The angle of refraction of the transmitted ray can be found using Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the indices of refraction: n1*sin(angle of incidence) = n2*sin(angle of refraction). In this case, the angle of incidence is 50 degrees, the index of refraction of air is assumed to be 1, and the index of refraction of glass is 1.5.
Plugging in these values and solving for the angle of refraction gives us approximately 33.56 degrees.