When an object is located very far away from a convex mirror, the image of the o

Question

When an object is located very far away from a convex mirror, the image of the object is 10.0 cm behind the mirror. Using a ray diagram drawn to scale, determine where the image is located when the object is placed 5.0 cm in front of the mirror. Note that the mirror must be drawn to scale also. In your drawing, assume that the height of the object is 3.0 cm.

Explanation / Answer

f = 16 cm 1/f = 1/do+1/di ==> di = 1/(1/f-1/do) = 1/(1/16-1/6.8) = -11.826 cm The result is negative, which means the image is virtual; that is, it appears to be behind the mirror. This is true for all convex mirrors. EDIT: Sorry and thanks, you're right. Thanks also to Al P for the prompt. I forgot do is always negative for mirrors. Now I know why my mother, although she loved me dearly, told me to stay away from mirrors for my own good. di = 1/(1/f-1/do) = 1/(1/16+1/6.8) = -4.77193 cm.

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