1. A person whose eyes are 1.70 m above the floor stands in front of a plane Mir

Question

1. A person whose eyes are 1.70 m above the floor stands in front of a plane Mirror. The top of her head is 0.12 m above her eyes.

a. What is the height of the shortest mirror in which she can see her entire image?

b. How far above the floor should the bottom edge of the mirror be placed?

2. Using rays diagram (drawn to scale using pencil/ruler to get any credit) find the image (nature and position) of an object located 100 cm    in front of a 60 cm focal length converging lense.

3. Using the lenses equation calculate the exact position of the image and describe its nature appropriately using sign convention).

Explanation / Answer

to see the top of her head, the light would need to reflect off the mirror half way between her eyes and the top of her head
This is at 1.70 + (0.13/2)
=1.765 m

This is the lowest point at which she could be able to see the top of her head, and so the height of the shortest mirror

To see her feet, the light would have to reflect off the mirror half way between her eyes and her feet
this is at 1.70/2
=0.85m

This is the lowest that the bottom edge of the mirror could be

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