Single correct option
A thin convex lens of focal length has a small object placed in front of it on its principal axis. A plane mirror is placed perpendicular to the axis on the other side of the lens, from the lens. Light from the object passes through the lens, is reflected by the mirror and passes through the lens a second time. Considering only this final image formed after the second refraction, it is located
- A. in front of the lens (on the side of the object), real, upright and twice the size of the object
- B. in front of the lens (on the side of the object), real, inverted and twice the size of the object
- C. behind the mirror, virtual, inverted and of the same size as the object
- D. at infinity, since the rays emerge parallel to the axis
Show answer and solution
Answer: (A) in front of the lens (on the side of the object), real, upright and twice the size of the object
First refraction: gives with magnification (inverted, twice the size). The mirror at intercepts the converging beam before it comes to a focus, so acts as a virtual object behind the mirror. A plane mirror forms a real image in front of it, i.e. from the lens, with . For the returning light this point is a real object at , so on the object side, with . The net magnification is : real, upright relative to the original object, twice as large. The second option forgets the inversion by the second pass. The fourth would hold only if the mirror were at .
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