Multiple Plane Mirrors: How Many Images Will Be Formed?

In summary, if there are 2 plane mirrors fitted on adjacent walls of a room and another on the top, a total of 7 images will be formed. This includes 3 direct images and 4 images formed by the reflections from the other mirrors. However, the number of images may vary depending on the size of the mirrors and the placement of the object.
  • #1
sachin123
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0

Homework Statement



How many images of a symmetrically placed object will be formed if 2 plane mirrors are fitted on ADJACENT walls of a room and another one on the top(roof)?
(mirrors are big)

2. The attempt at a solution
According to me,9.
because,3 direct images of the object are formed by the 3 mirrors.And the image formed by each mirror serves as an object for the other 2 mirrors thus forming 2 x 3 = 6 more images,thus a total of 9 images.

Am I correct?
 
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  • #2
Not exactly. Try drawing a diagram. Each mirror doubles the system. So three mirrors would create 2^3 objects total. The question asks for images, so we must subtract the real objects which is not an image: 2^3 - 1 = 7 images. You have over-counted the cross images by neglecting the fact that they line up and become the same image.
 

1. How do plane mirrors create virtual images?

Plane mirrors create virtual images by reflecting light rays off their flat surface. These reflected rays appear to come from behind the mirror, forming an image that is the same size and distance as the object in front of the mirror.

2. Can plane mirrors produce real images?

No, plane mirrors can only produce virtual images as they do not converge or focus light rays to form an image. Real images are formed when light rays actually converge at a point, such as in a curved mirror or lens.

3. How do the size and distance of an object affect the size and distance of its virtual image in a plane mirror?

The size of the virtual image in a plane mirror is the same as the size of the object, and the distance of the virtual image from the mirror is the same as the distance of the object from the mirror. This is known as the law of reflection.

4. What happens to the orientation of an object's image in a plane mirror?

The orientation of an object's image in a plane mirror is reversed from left to right, but remains upright. This is because the light rays are reflected off the mirror surface at an angle equal to the angle of incidence, resulting in a mirrored image.

5. Can multiple plane mirrors be used to create a kaleidoscope effect?

Yes, multiple plane mirrors can be used to create a kaleidoscope effect by reflecting the same object multiple times. The number of reflections depends on the number of mirrors and their angles of inclination. This creates a patterned image with multiple reflections of the same object.

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