Two parallel mirrors that face each other are placed along and perpendicular to

Question

Two parallel mirrors that face each other are placed along and perpendicular to the x-axis at x = +11.80 m and x = -11.80 m. Assume that a point source of light is placed on the axis at x = +3.50 m. In principle, there will be an infinite number of images generated. Consider the locations of the four images of the point source with the smallest absolute values of image distance i. Going from left to right (i.e from negative to positive), what is the x-coordinate of the left most image? It would be very useful to draw a diagram here! -27.1 m Submit Answer Incorrect. Tries 2/100 Previous Tries What is the x-coordinate of the next image? Submit Answer Tries 0/100 What is the x-coordinate of the next image? Submit Answer Tries 0/100 What is the x-coordinate of the right most image? Submit Answer Tries 0/100

Explanation / Answer

Given that

The mirrors are 11.8 m from the center and the object is 3.5.0 m from the center.

object distance for left mirror = 11.8 + 3.5 = 15.3 m

(1)

x-coordinate of the left most image,

q1 = -15.3 - 11.8 = -27.1 m.

(2)

Next image is produced by right mirrors.

object distance for right mirror = 15.3 + 2*11.8 = 38.9 m

image distance q2 = 38.9 + 11.8 = 50.7 m

(3)

next image produced by left mirror:

obect distance = 38.9 + 2*11.8 = 62.5 m

image distance q3 = -62.5 m - 11.8 = -74.3 m.

(4)

fourth image produced by right mirror.

object distance = 62.5 + 2*11.8 = 86.1 m

lmage distance = 86.1 + 11.8 = 97.9 m

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