1.) Identical objects are located at the same distance from two spherical mirrors, A and B....

1.) Identical objects are located at the same distance from two spherical mirrors, A and B. The magnifications produced by the mirrors are m_A = 3.6 and m_B = 2.1. Find the ratio f_A/f_B of the focal lengths of the mirrors.

2.) A tall tree is growing across a river from you. You would like to know the distance between yourself and the tree, as well as its height, but are unable to make the measurements directly. However, by using a mirror to form an image of the tree and then measuring the image distance and the image height, you can calculate the distance to the tree as well as its height. Suppose that this mirror produces an image of the sun, and the image is located 0.8508 m from the mirror. The same mirror is then used to produce an image of the tree. The image of the tree is 0.9932 m from the mirror. (a) How far away is the tree? (b) The image height of the tree has a magnitude of 0.12 m. How tall is the tree?

Solutions

Expert Solution

EXPLANATION- PART 1- In this part magnification of both images is given it will be positive means image must be virtual and by using mirror formula we have to calculate focal length and then ratio. Mirror is not given in part 1 then we have not exactly say about mirror.

explanation part 2- IN mirror focal length is never positive so we have to calculate both cases about tree image.

genius_generous answered 1 month ago

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