A mirror produces an image of the sun, and the image is located 0.9900 m from th

Question

A mirror produces an image of the sun, and the image is located 0.9900 m from the mirror. The same mirror is then used to produce an image of the tree. The image of the tree is 1.0000 m from the mirror. The image of the tree is inverted, and the magnitude of the height of the image is 0.16 m.

(b1) What is the algebraic expression for the object height ho of the tree? Express your answer in terms of the image height hi of the tree, the image distance di of the tree, and the object distance do of the tree.

Explanation / Answer

Image of sun is at 0.99 m. Hence focal length of mirror = 0.99 m as object distance of sun can be considered as infinity.
image distance, v = 1m

object distance of tree = vf/(v-f) = 1*0.9/(1-0.9) = 9m

Now for real inverted image, we have

hi/ho = - v/u

ho = - hi*u/v = 0.16*9/1 = 1.44 m

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