As shown in the figure, a ray of light strikes a plane mirror with some incident
ID: 1550674 • Letter: A
Question
As shown in the figure, a ray of light strikes a plane mirror with some incident angle. The mirror is now rotated by an angle of = 33.0° about an axis through the point where N1 contacts the mirror, without altering the incident ray. The new position is shown by the line M2.
(a) Determine the angle through which the reflected ray rotates if the incident angle is 40.0°.
(b) Determine the angle through which the reflected ray rotates if the incident angle is 50.0°.
2.a. Calculate the index of refraction for a medium in which the speed of light is 2.035 108 m/s. (The speed of light in vacuum is 2.998 108 m/s. Enter your answer to at least three decimal places.)
b. Identify the most likely substance based on this table.
3.
A scuba diver training in a pool looks at his instructor as shown in the figure below.
What angle does the ray from the instructor's face make with the perpendicular to the water at the point where the ray enters? The angle between the ray in the water and the perpendicular to the water is 36.6°
Suppose the figure below represents a ray of light going from air through crown glass into water, such as going into a fish tank. Calculate the amount the ray is displaced by the glass (x in mm), given that the incident angle is 38.0° and the glass is 2.85 cm thick.
mm
†
An optical fiber uses one glass clad with another glass. What is the critical angle? (Assume the glass in the fiber has an index of refraction of 1.67, and the glass in the cladding has an index of refraction of 1.47.)
Reflected ray before rotation Reflected ray after rotation M M2Explanation / Answer
1) a) theta = 2 alpha = 2 * 33 = 66 deg
b) theta = 2 alpha = 2 * 33 = 66 deg
2) a) n = c / v = (2.998 * 108) / (2.035 * 108)
= 1.47
b) glycerine
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