Answer:
red light deviates a greater amount.
Explanation:
Refractive problems should be solved in the equation
n1 sin θ1 = n2 sin θ2
Where n1 and n2 are the indexes of refraction of the material, for air it is n1 = 1, and θ are the angles of incidencence and refraction
a) Let's try to analyze the incidence of white light, the index of refraction of violet light is larger than the index of red light, therefore, if the other parameters: air, angle of incidence are maintained the angle of Violet light transmission should be less, or what is the same the red light deviates a greater amount.
b and c) We calculate the transmission angle for the two lights
Violet
sin θ2 = n1/n2 sin θ1
sin θ2 = 1/1.57 sin 27
sin θ2 = 0.289
θ2 = sin⁻¹ 0.289
θ2 = 16.8º
Red
sin θ3 = 1 / 1.44 sin 27 = 0.315
θ3 = 18.4º
In optics the angles are measured with respect to the normal one that is a line perpendicular to the surface (glass), if the angle with respect to the horizontal is desired we must subtract 90º
φ1 = 90 + θ1 = 90 -16.8
φ1 = 73.2º
φ2 =90 - θ2 = 90 -18.4
φ2 = 71.6º
The angles φ are with respect to the horizontal
d) When it passes from the glass to the air it has the opposite case, it sees a medium with a higher refractive index to a lower one, so the rays have the opposite behavior, so that the ray that least deviates is red and the one that most detours is the violet
the thickness of the glass plate is needed to calculate this information
