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A shopper standing 5.00 m from a convex security mirror sees his image with a magnification of 0.350.


(a) Where is his image? _____ m

(b) What is the focal length of the mirror? ______m

(c) What is its radius of curvature? ______ m


nearest 2 decimal places



What is the focal length of a makeup mirror that produces a magnification of 2.39 when a person’s face is 11 cm away?

answer to 3 decimal places


Consider a pair of flat mirrors that are positioned so that they form an angle of 55°. An object is placed on the bisector between the mirrors. Construct a ray diagram to show how many images are formed


A scuba diver sees light reflected from the water’s surface. At what angle relative to the water’s surface will this light be completely polarized?

answer to 3 decimal places


What is Brewster’s angle for light traveling in water that is reflected from glass (n=1.589)?

answer to 3 decimal places


Suppose you are using total internal reflection to make an efficient corner reflector. If there is air outside and the incident angle is 54°, what must be the minimum index of refraction of the material from which the reflector is made?

answer to 4 decimal places.


Suppose a man stands in front of a mirror as shown below. His eyes are 1.38 m above the floor and the top of his head is 0.284 m higher. Find the height above the floor of the top of the smallest mirror in which he can see both the top of his head and his feet.

answer to 3 decimal places.


A light beam in air is incident on the surface of a pond, making an angle of 21° with respect to the surface. What are the angles of refraction?

answer to 2 decimal places


A light beam in air is incident on the surface of a pond, making an angle of 25° with respect to the surface. What are the angles of reflection?


The path of a light beam in air goes from an angle of incidence of 40° to an angle of refraction of 21° when it enters a rectangular block of plastic. What is the index of refraction of the plastic?

answer to 2 decimal places


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