A convex mirror with a radius of curvature of 49.3 cm forms a 1.67 cm tall image

Question

A convex mirror with a radius of curvature of 49.3 cm forms a 1.67 cm tall image of a pencil at a distance of 13.0 cm behind the mirror.

a) Find the object distance for the pencil.
Answer in units of cm

b) Find the magnification of the image.

c) Describe the image.
1. virtual, inverted, smaller
2. None of these
3. real, inverted, smaller
4. virtual, inverted, larger
5. real, upright, larger
6. virtual, upright, smaller
7. virtual, upright, larger
8. real, upright, smaller
9. real, inverted, larger

d) What is the height of the object?
Answer in units of cm

Explanation / Answer

R=49.3 f=49.3/2=24.65cm 1/f=1/u+1/v 1/-24.65=1/u+1/-13 u=27.51cm(object distance) magnification=-(V/U)=-(-13/27.51)=0.467 image is virtula,smaller ,upright size of image=0.467*size of object=0.493*1.67=0.789cm

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