Question

Figure 1

Figure 2

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)

TypeAif you think that only diagram A is correct, typeABif you think that only diagrams A and B are correct, and so on.

Part B

If the radius of curvature of the convex mirror is 50.0, at what distance $d_o$ from the mirror must the candle be placed so that its image is formed 20 $\rm cm$ from the mirror?

Express your answer in centimeters.

The convex mirror is now replaced by aconcavemirror with the same radius of curvature.

Part C

Consider the following diagrams, where now C and F represent, respectively, the center of curvature and the focal point of the concave mirror. Again, the image formed by the mirror is found by ray tracing. Choose the correct diagram(s).(Figure 2)

TypeAif you think that only diagram A is correct, typeABif you think that only diagrams A and B are correct, and so on.

Part D

Assuming that the candle remains at a distance $d_o$ from the mirror (the same distance found in Part B), at what distance $d_i$ from the mirror will its image form now?

Express your answer in centimeters.

Answer 1

(A) The ray parallel to the principle axis that emerges virtually from the focal point after reflection from the mirror and the ray that emerges virtually through focal point will parallel to the principle axis after reflection from the mirror Thus, the correct ray diagram is C. (B) The focal length of the mirror is, f 2 50 cm 2 25 cm The object distance is, 1 1 1 f d d C 1 1 1 d f d fd d- f (25 cm (20 cm) 20 cm 25 cm =-100 cm Thus, the image distance is 100 cm. Il

(C) The ray parallel to the principle axis that emerges virtually from the focal point after reflection from the mirror and the ray that emerges virtually through focal point will parallel to the principle axis after reflection from the mirror Thus, the correct ray diagrams are A and C (D) The image distance is, 1 1 1 f d d 1 1 1 df d fd d-f (-25 cm) (-100 cm) -100 cm -(-25 cm) 2500 cm -75 cm = -33.3 cm Thus, the image distance is 33.3 cm.