Two plane mirrors are facing each other. They are parallel, 6 cm apart, and 13 c

Question

Two plane mirrors are facing each other. They are parallel, 6 cm apart, and 13 cm in length, as the drawing indicates. A laser beam is directed at the top mirror from the left edge of the bottom mirror. What is the smallest angle of incidence with respect to the top mirror, such that the laser beam hits the mirrors in each way? (a) hits only one of the mirrors (b) hits each mirror only once The image produced by a concave mirror is located 29 cm in front of the mirror. The focal length of the mirror is 11 cm. How far in

Explanation / Answer

d = 6 cm , L = 13 cm

(a) x = L/2 = 13/2 = 6.5 cm

tan(theta) = 6.5/6

theta = arctan(6.5/6)

theta = 47.3 degrees

(b) x = L/3 = 13/3= 4.33 cm

tan(theta) = 4.33/6

theta = arctan(4.33/6)

theta = 35.82 degrees

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