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 "firstorder" images, and those created of the firstorder images are "secondorder" images, how far away are the secondorder 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!
