please answer and show your work, thank you!
1.) A farsighted person has a near point that is 48.0 cm fromher eyes. She wears eyeglasses that are designed to enable her toread a newspaper held at a distance of 27.0 cm from her eyes. Findthe focal length of the eyeglasses, assuming each of thefollowing.
(a) that they are worn 2.0 cm from the eyes
cm
(b) that they are worn 3.0 cm from the eyes
cm
2.) A converging lens (f = 11.4 cm) is located 33.0 cmto the left of a diverging lens (f = -6.06 cm). A postagestamp is placed 39.6 cm to the left of the converging lens.
(a) Locate the final image of the stamp relative to thediverging lens. (Include sign to indicate which side of the lensthe image is on.)
____________cm
(b) Find the overall magnification.
________________
3.) The owner of a van installs a rear-window lens that has afocal length of -0.301 m. When the owner looks out through the lensat a person standing directly behind the van, the person appears tobe just 0.237 m from the back of the van, and appears to be 0.335 mtall.
(a) How far from the van is the person actually standing?
___________m
(b) How tall is the person?
___________m
