JEE Mains · Physics · STD 12 - Ray optics and optical instruments
- JEE Mains 2016
- Hard
- MCQ
A convex lens, of focal length \(30\,cm,\) a concave lens of focal length \(120\,cm,\) and a plane mirror are arranged as shown. For an object kept at a distance of \(60\,cm\) from the convex lens, the final image, formed by the combination, is a real image, at a distance of
Pick an option to check your answer.
Answer & Solution
Correct Answer
(A) \(60\,cm\) from the convex lens
Step-by-step Solution
Detailed explanation
Len's formula is given by
\(\frac{1}{f}=\frac{1}{v}-\frac{1}{u}\)
For convex lens,
\(\frac{1}{30}=\frac{1}{v}+\frac{1}{60} \Rightarrow \frac{1}{60}=\frac{1}{v}\)
Similarly for concave lens
\(\frac{1}{-120}=\frac{1}{v}-\frac{1}{40} \Rightarrow \frac{1}{v}=\frac{1}{60}\)
Virtual object \(10\,\mathrm{cm}\) behind plane mirror.
Hencereal image \(10\,\mathrm{cm}\) infront of mirror or, \(60\,\mathrm{cm}\) from convex lens
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