A compound lens system consists of two converging lenses, one at x = ? 20.0 c m

Question

A compound lens system consists of two converging lenses, one at x=?20.0cm with focal length f1=+10.0cm, and the other at x=+20.0cm with focal length f2=+8.00cm. (Figure 1) An object 1.00centimeter tall is placed at x=?50.0cm.


How tall is the final image? Express your answer in centimeters, to three significant figures or as a fraction.

Now remove the two lenses at x=+20.0cm and x=?20.0cm and replace them with a single lens of focal length f3 at x=0. We want to choose this new lens so that it produces an image at the same location as before.

What is the focal length of the new lens at the origin? Express your answer in centimeters, to three significant figures or as a fraction. A compound lens system consists of two converging lenses, one at x=?20.0cm with focal length f1=+10.0cm, and the other at x=+20.0cm with focal length f2=+8.00cm. (Figure 1) An object 1.00centimeter tall is placed at x=?50.0cm.


How tall is the final image? Express your answer in centimeters, to three significant figures or as a fraction.

Now remove the two lenses at x=+20.0cm and x=?20.0cm and replace them with a single lens of focal length f3 at x=0. We want to choose this new lens so that it produces an image at the same location as before.

What is the focal length of the new lens at the origin? Express your answer in centimeters, to three significant figures or as a fraction.

How tall is the final image? Express your answer in centimeters, to three significant figures or as a fraction.

How tall is the final image? Express your answer in centimeters, to three significant figures or as a fraction.

Now remove the two lenses at x=+20.0cm and x=?20.0cm and replace them with a single lens of focal length f3 at x=0. We want to choose this new lens so that it produces an image at the same location as before.

What is the focal length of the new lens at the origin? Express your answer in centimeters, to three significant figures or as a fraction. Now remove the two lenses at x=+20.0cm and x=?20.0cm and replace them with a single lens of focal length f3 at x=0. We want to choose this new lens so that it produces an image at the same location as before. Now remove the two lenses at x=+20.0cm and x=?20.0cm and replace them with a single lens of focal length f3 at x=0. We want to choose this new lens so that it produces an image at the same location as before.

What is the focal length of the new lens at the origin? Express your answer in centimeters, to three significant figures or as a fraction.

What is the focal length of the new lens at the origin? Express your answer in centimeters, to three significant figures or as a fraction.

Explanation / Answer

Use the formula v1 * v2 /(u1 u2)

This gives a height of 23.5cm

The object is 50 cm from the new lens and has an image distance of 31.76 cm. This gives an answer of 19.42 cm.

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