JEE Main20206 Sep 2020Morning ShiftPhysicsRay OpticsActual
A point like object is placed at distance of 1 m in front of a convex lens of focal length 0 . 5 m . A plane mirror is placed at a distance of 2 m behind the lens. The position and nature of the image formed by the system is
Options
- A2 . 6 m from the mirror, real
- B1 m from the mirror, virtual
- C1 m from the mirror, real
- D2 . 6 m from the mirror, virtual
Correct answer
D. 2 . 6 m from the mirror, virtual
Step-by-step solution
For I 1 applying lens formula 1 v 1 - 1 - 1 = 1 0 . 5 v 1 = 1 For I 2 applying condition of plane mirror for final image ( I 3 ) again applying lens formula 1 v 3 - 1 - 3 = 1 0 . 5 v 2 = 3 5 The distance of final image from mirror D = 3 5 + 3 D = 2 . 6 The image will be real (but it is given virtual in answer)