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Question

A convex lens of power 5D is placed at a distance of 30 cm from a screen. At what distance from the lens should the screen be placed so that its image is formed on the screen?


  1. The screen should be placed at 30 cm from the lens.

  2. The screen should be placed at 90 cm from the lens.

  3. The screen should be placed at 60 cm from the lens.

  4. The screen should be placed at 150 cm from the lens.


Solution

The correct option is C

The screen should be placed at 60 cm from the lens.


Power of the lens, P = +5D

Focal length, f = 15 = 0.2 m = 20 cm

Here, the screen is placed 30 cm from the lens.

Now, v = +30 cm, f = +20 cm, u =?

Using the lens formula, we get u = - 60 cm

Therefore, the screen should be placed at 60 cm from the lens.

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