Suppose two plane mirrors are positioned exactly as shown above. A small round “

Question

Suppose two plane mirrors are positioned exactly as shown above. A small round “object” is placed as shown. There are nine positions above labeled “1”, “2”, “3”....”9”. The path of one example ray from the object is shown.

Part (a) Of these nine positions, two of these (only) correspond to the positions of virtual images of the object. Which two positions are these? Explain your answer using a carefully annotated copy of this diagram.

Part (b) The numbered positions correspond to just two virtual images of the object. Are there other images that are located at other positions (un-numbered)? How many total virtual images exist in this system? Explain how you know this.

Part (c) At a fun-house you walk into a cubical room where two opposite walls are completely covered with flat mirror panels. What do you see when you look into either of the mirrored walls? How many “images” of yourself do you “see”? Explain.

Explanation / Answer

A) The two positions will be 3 and 5.

A virtual image is formed when distance of the image from mirror is same as distance of object from mirror. So 3 forms an image in mirror at the top.

Now this image 3 will act as an object to mirror below and form an equidistant image 5 in it.

B) there will be infinite images formed as image formed in one will act as an object for other and so on.

C) Infinite for the same reason mentioned in b part.

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