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The number of images observable between ...

The number of images observable between two parallel plane mirrors is

A

2

B

4

C

11

D

Infinite

Text Solution

AI Generated Solution

The correct Answer is:
To find the number of images observable between two parallel plane mirrors, we can follow these steps: ### Step 1: Understand the Setup We have two parallel plane mirrors facing each other. When an object is placed between them, each mirror reflects the object and creates images. **Hint:** Visualize the mirrors and the object placed between them to understand how reflections occur. ### Step 2: Identify the First Set of Images When the object is placed between the two mirrors, the first image will be formed by the first mirror reflecting the object. This image will then act as an object for the second mirror, creating a second image. **Hint:** Remember that each image formed can act as an object for the other mirror. ### Step 3: Continue the Process This process continues indefinitely. Each image created by one mirror will reflect back and create another image in the opposite mirror. This means that for every image formed, there will be a corresponding image in the other mirror. **Hint:** Think about how each image can keep generating new images as they reflect back and forth. ### Step 4: Conclusion Since the process of image formation continues without stopping, we conclude that there is an infinite number of images observable between the two parallel mirrors. **Hint:** Consider the concept of infinite series in mathematics; the reflections can be seen as an infinite sequence. ### Final Answer The number of images observable between two parallel plane mirrors is infinite.
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Knowledge Check

  • What is the number of images of an object held between two parallel plane mirrors ?

    A
    0
    B
    infinite
    C
    1
    D
    none of these
  • The number of images of an object placed between two plane mirrors placed parallel to each other is

    A
    two
    B
    one
    C
    infinite
    D
    Cannot be determined
  • The number of image of an object placed between two plane parallel mirrors is _____

    A
    two
    B
    one
    C
    infinite
    D
    Cannot be determined.
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