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WBJEE · Physics · Ray Optics

A luminous object is separated from a screen by distance \(d\). A convex lens is placed between the object and the screen such that it forms a distinct image on the screen. The maximum possible focal length of this convex lens is

  1. A \(4 d\)
  2. B \(2 d\)
  3. C \(\frac{d}{2}\)
  4. D \(\frac{d}{4}\)
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Answer & Solution

Correct Answer

(D) \(\frac{d}{4}\)

Step-by-step Solution

Detailed explanation

Focal length of a convex lens by displacement method Focal length of the convex lens \[ f=\frac{a^{2}-b^{2}}{4 a} \] where \(a\) = distance between the image and object and \(b=\) distance between two positions of lens Fact The distance bemeen the ho points should be 4 times…