1.) Identical objects are located at the same distance from twospherical mirrors, A and B. The magnifications produced by themirrors are mA = 3.6 and mB= 2.1. Find the ratio fA/fBof the focal lengths of the mirrors.
2.) A tall tree is growing across a river from you. You wouldlike to know the distance between yourself and the tree, as well asits height, but are unable to make the measurements directly.However, by using a mirror to form an image of the tree and thenmeasuring the image distance and the image height, you cancalculate the distance to the tree as well as its height. Supposethat this mirror produces an image of the sun, and the image islocated 0.8508 m from the mirror. The same mirror is then used toproduce an image of the tree. The image of the tree is 0.9932 mfrom the mirror. (a) How far away is the tree? (b) The image heightof the tree has a magnitude of 0.12 m. How tall is the tree?