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Two plane mirror are placed parallel to each other at a distance L apart . A point object o placed between them at a distance L/3 from one mirror. Both mirrors form multiple images the distance between any two image can not be?
Most Upvoted Answer
Two plane mirror are placed parallel to each other at a distance L apa...
I  guess the answer should be 3L/2. since they are parallel mirrors, the total images formed is infinite (which is already in the question) and as it’s a plane mirror the image distance and object distance will be equal. so L/3 for one mirror menas 2L/3 from the other mirror. the image formed by L/3 object is L/3 for one mirror behind it and for the other mirror since it will act as an object at 2L/3 it forms image at 2L/3. so adding L/3+L/3 one image and 2L/3+2L/3 (the other image) is 2L. similarly if you consider two images by the same mirror it will be L/3+L/3 =2L/3 in one case and in the other case 2L/3+2L/3 =4L/3. thus i guess it could never be 3L/2.
Community Answer
Two plane mirror are placed parallel to each other at a distance L apa...
Answer:


Explanation:


When a point object is placed between two parallel mirrors, multiple images are formed. The number of images formed is given by the formula:

Number of images = (360°/angle of inclination between mirrors) - 1

In this case, since the mirrors are parallel, the angle of inclination between them is zero, and hence an infinite number of images are formed.

Distance between images:


Let's consider the first two images formed by the two mirrors. Let A and B be the two mirrors and O be the point object. Let O1 and O2 be the first two images formed by the mirrors.



When the light from the point object O reflects from mirror A, it forms an image O1. This image O1 acts as a virtual object for mirror B, and when the light from O1 reflects from B, it forms a second image O2.

The distance between O and O1 is L/3, and the distance between O1 and O2 is also L/3 (since the mirrors are parallel). Hence, the distance between any two consecutive images formed by the two mirrors is L/3.

Conclusion:


Therefore, the distance between any two images formed by two parallel mirrors placed L apart is L/3.
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Two plane mirror are placed parallel to each other at a distance L apart . A point object o placed between them at a distance L/3 from one mirror. Both mirrors form multiple images the distance between any two image can not be?
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