A 1. Two mirrors are placed along OX ane OY. A light ray starts from (a, b) and after being reflected from the two mirrors reaches the point (c, d). Prove that for the total time of travel to be minimum, angle of incidence is equal to angle of reflec- tion at each mirror. a H₂

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Suppose you have an unknown clear substance immersed in water, and you wish to identify it by finding its index of refraction. You arrange to have a beam of light enter it at an angle of 45.0° with respect to the normal, and you observe the angle of refraction to be 40.3°. A. What is the index of refraction of the substance?  B. What is its likely identity?

Consider a light ray that enters and exits a prism as shown below. Suppose the material of the prism is unknown but the surrounding material has index of refraction n, = 1.3. Find the index of refraction for the material of the prism. n2 n1 22° 38° 9. n, = А. 1.479 D. 1.586 В. 1.635 Е. 1.333 С. 1.389 F. 1.527

110. The two mirrors refra shown meet at a right light angle. The beam of light in the vertical plane P strikes mirror 1 as shown. Determine red Light i beam Mirror of g sket (a) the 40.0% the distance the reflected viol light beam travels before striking mirror 2. (b) In what direction does the 1.25 m Mirror Ext light beam travel after reflecting from mirror 2? 116 unde shov 111. A cylindrical cistern, constructed below ground level, is 3.0 m in diameter and 2.0 m deep and is filled to the brim with water. A small object rests on the bottom of the cistern at its center. How far from the edge of the cistern can a girl whose eyes are 1.2 m from the ground stand and still see the object? shap 1. vibr elec 118. 112. Consider a common mirage formed by superheated air just above a roadway. A truck driver whose eyes are 2.00 m above the road, where n= 1.000 3, looks forward. She has the illusion of seeing a patch of water ahead on the road, where her line of sight makes an angle of 1.20°…

A laser beam is incident on a 45°-45°-90° prism perpendicular to one of its faces, as shown in the figure below. The transmitted beam that exits the hypotenuse of the prism makes an angle of = 17.7° with the direction of the incident beam. Find the index of refraction of the prism. h Jē 45.0⁰