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Old Apr 2nd 2018, 07:44 AM   #1
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Reflections

Hi again... now I have this problem,

Two parallel planar mirrors face each other. An object is placed between them at a distance x from one and 3x from the other. If the images created of the object are "first-order" images, and those created of the first-order images are "second-order" images, how far away are the second-order images from the object, in terms of x?

I called the closer mirror A and the farther one B and came up with this-
if the object is x units from mirror A, its reflection will also be x units from the mirror. So, the reflection of its reflection in mirror B will also be x units from the mirror. Since mirror B is 3x units from the object the distance from object to reflection will be 3x + x units = 4x units. The reflection of the object in mirror B is also equal to 3x units from the mirror, so the reflection's reflection in mirror A will also be 3x units from A, and because the object is x units from A its distance from the object is also 3x + x= 4x units. So my answer is 4. My textbook doesn't provide an answer for this problem, so I want to know if I'm on the right track with this? Thanks!
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Old May 9th 2018, 11:18 PM   #2
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For second image in A, the object is the first image in B. Now find the distance of the first image in B from mirror A.
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