Part A Consider the following diagrams noting that the scale is different betwee

Question

Part A Consider the following diagrams noting that the scale is different between diagrams. In these diagrams, C and F represent the center of curvature and the focal point of the convex mirror, respectively. The image formed by the mirror is obtained using the ray tracing technique. Which diagram(s) are correct? (Figure 1) (Figure 2) (Figure 3) Type A if you think that only diagram A is correct, type AB if you think that only diagrams A and B are correct, and so on. Hints Submit My Answers Give Up

Explanation / Answer

PART A

Fig A - incorrect - Ray diagram must be drawn without any regards to center of curvature

Fig B - incorrect - The convex mirror will form only virtual upright image

Fig C - Correct - both blue and red rays go through focal length and image is virtual and upright

PART B

Radius of curvature R = 50 cm

Focal length f = R/2

f = 50.0/2 = 25.0 cm

Applying signs

1/f = 1/do - 1/di

1/(-25) = 1/do + 1/(-20)

1/do = -4/100 + 5/100

1/do = 1/100

do = 100 cm

The candle must be placed at a distance of 100 cm from the mirror

PART C

Fig A - Correct

Fig B - incorrect - rays should not go through C

Fig C - incorrect - rays should not go through C

PART D

1/f = 1/do + 1/di

1/25 = 1/100 + 1/di

4/100-1/100 = 1/di

di = 100/3

di = 33.3 cm

The image will be forming at a distance 33.3 cm from the mirror

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