Question

an object is placed at a distance f/3 from a convex lens. The distance of image from thee lens will be?

Answer 1

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Answer 2

The distance of image from the lens will be f/2.

An object is placed at a distance f/3 from a convex lens.

We have to find the distance of image from the lens.

Concepts :

• A convex lens converges a parallel beam of light. That's the reason to call it converging lens.
• A convex lens is thicker at the center and get thinner as we move towards the edge of it.
• It is used in microscopes, magnifying glasses , correction of hypermetropia , camera lens in cameras etc..
• focal length of convex lens is taken as positive.

Here, object distance, u = -f/3

focal length = +f

using lens formula,

$\frac{1}{f} =\frac{1}{v} -\frac{1}{u}\\\\\implies\frac{1}{f} =\frac{1}{v} -\frac{1}{-f/3}\\\\\implies\frac{1}{v}=\frac{1}{f}-\frac{3}{f}=-\frac{2}{f}\\\\\implies v=-\frac{f}{2}$

Therefore the distance of image from the lens will be f/2.

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