Question

An object is placed 33.0 cm to the left of a diverging lens with a focal length of -20.0 cm. A converging lens of focal length of 33.0 cm is placed a distance d to the right of the diverging lens. Find the distance d that the final image is at infinity. ______ cm

Answer #1

For the diverging(first) lens:

Using thin lens formula

So image of object due to first diverging lens is formed in front of diverging lens at a distance of for which final image is formed at infinity.

This image acts as an object to converging (second) lens,

Diverging and converging lens are at a distance of ,

So the object distance for the converging lens is

Using thin lens formula for the second converging lens:

Hence the distance between the two lenses is

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