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A concave makeup mirror is designed so that a person 27.8 cm in front of it sees

ID: 2156159 • Letter: A

Question

A concave makeup mirror is designed so that a person 27.8 cm in front of it sees an upright image at a distance of 50.9 cm behind the mirror.

a) What is the radius of curvature of the mirror?
Answer in units of cm

b) Calculate the magnification of the image.

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

Explanation / Answer

1/f =1/u +1/v =1/27.8 +1/-50.9 f=61.26cm R=2f=122.512cm magnification factor=-(V/U)=-(-50.9/27.8)=1.831 image is vertual larger uprighht(6)

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