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

A point object, \(O\) is placed in front of two thin symmetrical coaxial convex lenses \(L _1\) and \(L _2\) with focal length \(24\,cm\) and \(9\,cm\) respectively. The distance between two lenses is \(10\,cm\) and the object is placed \(6\,cm\) away from lens \(L _1\) as shown in the figure. The distance between the object and the image formed by the system of two lenses is .........\(cm\)

  1. A \(31\)
  2. B \(32\)
  3. C \(34\)
  4. D \(33\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(34\)

Step-by-step Solution

Detailed explanation

\(\text { From Ist lens } \frac{1}{ v }+\frac{1}{6}=\frac{1}{24}\) \(\frac{1}{ v } =\frac{1}{24}-\frac{1}{6}=-\frac{1}{8}\) \(v =-8\,cm\) From \(IInd\) lens \(\frac{1}{ v } +\frac{1}{18}=\frac{1}{9}\) \(\frac{1}{ v }= \frac{1}{18}\) \(v =18\) So distance between object and its…
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