Concept Questions A tall tree is growing across a river from you. You would like

Question

Concept Questions 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.

(b) You will need to know the focal length of the mirror. The sun is shining. You aim the mirror at the sun, and the mirror forms an image of it. How is the image distance of the sun related to the focal length of the mirror?


The image distance of the sun is equal to the focal length of the mirror.


The image distance of the sun is twice the focal length of the mirror.


The image distance of the sun is one-half the focal length of the mirror.

Explanation / Answer

Distance of sun from mirror on earth is very very large compared to the distance of tree or focal length of lens

so,

sun can be assumed to be at infinity

rays of light from infinity converge at focus of mirror

so,

The image distance of the sun is equal to the focal length of the mirror.

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