Combination of Lenses
An object is placed at a distance of 12 cm from a convex lens. A convex mirror of focal length 15 cm is placed on other side of lens at 8 cm as shown in the figure. Image of object coincides with the object.

When the convex mirror is removed, a real and inverted image is formed at a position. The distance of the image from the object will be .............. (cm)
Numerical answer type. Work it out, then open the answer.
Show answer and solution
Answer: 50
- Image coincides with the object, so rays from the lens hit the convex mirror normally: the lens image is at the mirror's centre of curvature.
- , so the lens image is from the lens.
- Without the mirror the real inverted image is at this same point.
- Distance from the object: .