A concave makeup mirror is designed so that a person 25.2 cm in front of it sees

Question

A concave makeup mirror is designed so that a person 25.2 cm in front of it sees an upright image at a distance of 51.5 cm behind the mirror.

a). What is the radius of curvature of the mirror? (in cm)

b). Calculate the magnification of the image.

c). Describe the image. (using one of the following options)
1. virtual, inverted, smaller

2. virtual, upright, larger

3. virtual, inverted, larger

4. real, upright, larger

5. real, inverted, smaller

6. real, inverted, larger

7. real, upright, smaller

8. None of these

9. virtual, upright, smaller

Explanation / Answer

u= 25.2 cm , v = 51.5 cm

-1/f =1 /u -1/v

f = uv/(u+v)

f = 51.5*25.2/(51.5-25.2)

f= -49.34 cm

b. magnification m =v/u = 51.5/25.2 =2.04

c. 2. virtual, upright, larger

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