Final answer:
The student's question involves applying Snell's Law to determine the angle at which a ray of light from glass enters the air. By calculating the incident angle with respect to the normal and solving Snell's Law, we find that the angle of refraction is approximately 77.3 degrees, but from the normal, it is around 12.7 degrees, which does not match any of the provided options.
Step-by-step explanation:
To determine the angle at which a ray of light enters the air from glass, we use Snell's Law, which relates the incident angle and refractive indices of two different mediums. In this scenario, the ray is moving from glass (with a refractive index, n, of 1.50) into the air. Using the refractive index of air as 1.00 (since it's often approximated to this value) and the refractive index of glass as 1.50, we apply Snell's Law: n1sin(θ1) = n2sin(θ2).
The incident angle, θ1, given as 310.0 degrees, is not directly usable, since it is measured from the normal. We need to first calculate the angle of incidence with the normal to the interface. This is done by subtracting the given angle from 360 degrees (since a full circle is 360 degrees), yielding 50 degrees (360 - 310 = 50 degrees). Now we can set up Snell's Law as follows: 1.50 sin(50 degrees) = 1.00 sin(θ2), and solve for the angle of refraction, θ2, which is the angle the ray makes upon entering the air.
Solving for θ2 yields, sin(θ2) = sin(50 degrees) * 1.50 / 1.00. Using a calculator, we find that θ2 is approximately 77.3 degrees, which corresponds to the complementary angle with respect to the normal. Since we want the angle from the normal, we subtract this from 90 degrees: θ2 = 90 - 77.3 = 12.7 degrees.
However, none of the options closely match this result, indicating a potential misunderstanding of the question or its parameters.