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# Draw a ray diagram to show the formation of real image of the same size as that of the object placed in front of a converging lens. Using this ray diagram establish the relation between u, v and f for this lens.ORDerive the lens formula for a concave lens, using the necessary ray diagram.

Asked by Topperlearning User 8th July 2014, 1:39 PM

The formation of image by a convex lens 'L' is show in fig. AB is object and A'B' is the image.

Let distance of object AB from lens = u

Distance of image A'B' from lens = v

Focal length of lens = f.

Triangles ABC and A'B'C are similar

Similarly triangles PCF and A'B' are similar

But PC = AB

..........(2)

From (1) and (2), we get

..........(3)

From sign convection, CB =-u, CB' = v CF = f and FB' =CB' - CF = v - f

Subsituting this value in (3), we get, -

or                   -u (v - f) = vf or - uv + uf = vf

Dividing througout by uvf, we get

.........(4)

OR

The formation of image by a concave lens 'L' is shown in fig. AB is object and A'B' is the image.

Answered by Expert 8th July 2014, 3:39 PM

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