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JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments

A point like object is placed at a 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 final image formed by the system is 

  1. A \(1\, m\) from the mirror, virtual
  2. B \(1\, m\) from the mirror, real
  3. C \(2.6\, m\) from the mirror, real
  4. D \(2.6\, m\) from the mirror, virtual
Verified Solution

Answer & Solution

Correct Answer

(C) \(2.6\, m\) from the mirror, real

Step-by-step Solution

Detailed explanation

Object is at \(2 f\). So image will also be at \(2 f\). \(\left( I _{1}\right)\) Image of \(I_{1}\) will be \(1\, m\) behind mirror. i.e. \(\Rightarrow I _{2}\) Now \(I \)\(_{2}\) will be object for lens. \(\therefore u \Rightarrow-3 m\) \(f \Rightarrow+0.5 m\)…