NCERT Physics Class 12 Exemplar Ch 9 Ray Optics and Optical Instruments Part 3

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Q 25. In many experimental set-ups the source and screen are fixed at a distance say D and the lens is movable. Show that there are two positions for the lens for which an image is formed on the screen. Find the distance between these points and the ratio of the image sizes for these two points.

Ans:

From the reversibility of u and v, as seen from the formula for lens,

  • It is clear that there are two positions for which there shall be an image on the screen.

  • Let the first position be when the lens is at O.

Given

Placing it in the lens formula

Two positions shall on the screen.

Two Positions Shall on the Screen.

Two positions shall on the screen.

Thus, if the object distance is then the image is at

  • If the object distance is then the image is at

  • The distance between the poles for these two object distances is

Let

If then the image is at

∴The magnification

if then

∴The magnification Thus

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