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An object is put at the front focal point of a convex lens. Behind the convex lens, a plane mirror is placed perpendicularly
To solve this problem, you need to know how to determine the out-going ray for an arbitrary incident ray. Here I describe how
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Answer #1

for convex lens:

ray going parallel to the axis passes through the focus on the other side

Ray going through the center of lens, passes through straight through the center.

           Object F F Plane mirror Convex lens

The two passed rays are parellel to each other, so we can say that they meet at infinity, so the image is formed at infinity.

Since the image is at infinity the position of mirror doesn't matter

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