The figure shows a point source of unpolarized light at A inside a uniform transparent crystal. The ray AO in the crystal strikes the plane surface SS' making an angle of 30° with the normal. This angle is the critical angle for transmission into air.

-Which one of the following statements is true concerning this situation?
A)When the angle of incidence is equal to the Brewster angle,the angle of refraction is 13°.
B)When the angle of incidence is equal to the Brewster angle,the angle of refraction is 63°.
C)When the angle of incidence is equal to the Brewster angle,the angle of refraction is 42°.
D)Since the Brewster angle is less than the critical angle,there is no refraction when the angle of incidence is equal to qB.
E)Since the Brewster angle is greater than the critical angle,there is no refraction when the angle of incidence is equal to q B.

Question

The figure shows a point source of unpolarized light at A inside a uniform transparent crystal.  The ray AO in the crystal strikes the plane surface SS' making an angle of 30° with the normal.   This angle is the critical angle for transmission into air.

-Which one of the following statements is true concerning this situation?
A)When the angle of incidence is equal to the Brewster angle,the angle of refraction is 13°. 
B)When the angle of incidence is equal to the Brewster angle,the angle of refraction is 63°. 
C)When the angle of incidence is equal to the Brewster angle,the angle of refraction is 42°. 
D)Since the Brewster angle is less than the critical angle,there is no refraction when the angle of incidence is equal to qB. 
E)Since the Brewster angle is greater than the critical angle,there is no refraction when the angle of incidence is equal to q B.

Quizplus · Accepted Answer

When the angle of incidence is equal to the Brewster angle, the reflected and refracted rays are perpendicular to each other. This means that the sum of the Brewster angle and the angle of refraction is 90°. Given that the Brewster angle for many transparent materials is around 56° to 57°, the angle of refraction would be close to 33° to 34°, making none of the provided specific angles of refraction directly associated with the Brewster angle. However, the correct statement must be chosen based on the understanding of the Brewster angle and its relationship to refraction and reflection, not the specific angles provided. Since none of the angles directly correlate and without specific indices of refraction to calculate the exact angles, the focus should be on the conceptual understanding of the Brewster angle and its implications. The Brewster angle is indeed related to the polarization of light and the angles of reflection and refraction, but the specific choice must be evaluated based on the principles of optics rather than the provided angle values, which do not directly apply. Given the misunderstanding in the explanation, the correct choice should be reassessed based on accurate optical principles.

The Figure Shows a Point Source of Unpolarized Light at a Inside