A coin is placed in front of a concave mirror has a radius of curvature R = 0.50

Question

A coin is placed in front of a concave mirror has a radius of curvature R = 0.50 m. The image of the coin is inverted and five times the size of the object. Determine the distance between the coin and the mirror. A) 0.10 m B) 0.15 m C) 0.20 m D) 0.30 m E) 0.45 m A concave mirror (R = 54 cm) is used to project a transparent slide onto a wall. The slide is located at 46.0 from the mirror, and a light bulb shines light through the slide and onto the mirror. The setup is shown below. (a) How far from the wall should the mirror be located? (b) The height of the object on the slide is 0.80 cm. What is the height of the image? (c) How should the slide be oriented so that the picture on the wall looks normal?

Explanation / Answer

4) y' = 5y

magnification m = -y'/y = -5

m = -v/u

v = 5u

1/f = 1/u+1/v

1/f = 1/u+1/5u = 1.2/u

f = u/1.2

u = f*1.2

f = R/2

u = R*0.6 = 0.3 m

answer is option D

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