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AP EAMCET · PHYSICS · Ray Optics

A thin converging lens of focal length \(25 \mathrm{~cm}\) forms a sharp image of an object on a screen placed at a distance of \(75 \mathrm{~cm}\) from the lens. Later the screen is moved closer to the lens by a distance \(25 \mathrm{~cm}\). The distance through which the object is to be shifted so that its image on the screen is sharp again is

  1. A \(50 \mathrm{~cm}\) towards the lens
  2. B \(50 \mathrm{~cm}\) away from the lens
  3. C \(12.5 \mathrm{~cm}\) towards the lens
  4. D \(12.5 \mathrm{~cm}\) away from the lens
Verified Solution

Answer & Solution

Correct Answer

(D) \(12.5 \mathrm{~cm}\) away from the lens

Step-by-step Solution

Detailed explanation

According to the question, Given, focal length, \(f=25 \mathrm{~cm}\) and distance between image of an object and screen, \(v=75 \mathrm{~cm}\) Now, By lens formula, \(\frac{1}{f}=\frac{1}{v}-\frac{1}{u}\) [ \(\because\) Because screen is moved closer to the lens.]…