A person walks into a room that has, on opposite walls, two plane mirrors produc

Question

A person walks into a room that has, on opposite walls, two plane mirrors producing multiple images. Find the distances from the person to the first three images seen in the left-hand mirror, when the person is 11.0 ft from the mirror on the left wall and 8.00 ft from the mirror on the right wall. First image ft second image ft third image ft A dentist uses a mirror to examine a tooth that is 1.25 cm in front of the mirror. The image of the tooth is formed 6.0 cm behind the mirror. Determine the mirror's radius of curvature.

Explanation / Answer

(a)The first image in the left-hand mirror is 11.00 ft behind the mirror or 22 ft from the person

(b)The first image in the right-hand mirror serves as an object for the left-hand mirror. It is located 8.0 ft behind the right-hand mirror, which is 27.0 ft from the left-hand mirror. Thus, the second image in the left-hand mirror is 27.0 ft behind the mirror.

(c)

The first image in the left-hand mirror serves as an object for the right-hand mirror. It is located 22.0 ft in front of the right-hand mirror and forms an image 22.0 ft behind that mirror. This image then serves as an object for the left-hand mirror. The distance from this object to the left-hand mirror is 47.0 ft. Thus, the third image in the left-hand mirror is 47.0 ft behind the mirror

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