Questions 1 and 4 art short free-response questions that require about 20 minute

Question

Questions 1 and 4 art short free-response questions that require about 20 minutes each to answer and worth 10 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part. The figure above shows a cross section of a drinking glass (index of refraction 1.52) filled with a thin layer of liquid (index of refraction 1.33). The bottom comers of the glass are circular arcs, with the bottom right arc centered at point O. A monochromatic light source placed to the right of point P shines a beam aimed at point O at an angle of incidence theta. The flat bottom surface of the glass containing point P is frosted so that bright spots appear where light from the beam strikes the bottom surface and docs not reflect. When theta = theta_1. Two bright spots appear on the bottom surface of the glass. The spot closer to point P will be referred to as X; the spot farther from P will be referred to as Y. The location of spot X and that of spot Y both change as theta is increased. (a) In a coherent paragraph-length answer, describe the processes involved in the formation of spots X and Y when theta = theta_1. Include an explanation of why spot Y is located farther from point P than spot X is and what factors affect the brightness of the spots.

Explanation / Answer

Process involved -

a) When light ray moves from Air to liquid , it bends away from medium .

b)   When light ray moves from liquid to glass , it bends towards the medium .

Spot X is located farther because of the refraction process .

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