Question

In: Physics

A small object is 25.0 cm from a diverging lens as shown in the figure. A...

A small object is 25.0 cm from a diverging lens as shown in the figure. A converging lens with a focal length of 12.0 cm is
30.0 cm to the right of the diverging lens. The two-lens system forms a real inverted image 17.0 cm to the right of the
converging lens. What is the focal length of the diverging lens? What is the total magnification of the final image?

Expert Solution

Focal length of diverging lens is

Focal length of converging lens is

Distance between two lenses

For the first lens(diverging lens): Object distance from diverging lens

Thin lens formula ( real positive sign convention)

--------(1)

For the second lens ( converging lens) , Object distance from converging lens

Focal length of converging lens

Final image is formed at to the right of converging lens.

Thin lens formula ( real positive sign convention)

Using above value in equation (1)

Focal length of diverging lens is (negative sign indicates the lens is a diverging lens)

Magnification ( )

(negative sign indicates the final image is inverted)

Focal length of diverging lens is and Magnification of final image is .

genius_generous answered 2 years ago

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