A spherical mirror is polished on both sides, so it can be used as either a concave mirror or a convex mirror. Try to be fairly accurate with your ray diagrams. Recall that the focal length of a spherical mirror is 1/2 the radius of curvature. In these cases, the object will be at a greater distance than the radius of curvature. f C a) Draw a ray diagram for when the mirror is in the convex position and sketch the image location. b) Is the image real or virtual in the convex position? How do you know? c) Draw a ray diagram for when the mirror is in the concave position and sketch the image location. d) Is the image real or virtual in the concave position? How do you know? e) When used as a convex mirror, the magnification is 1/4 and the image distance is located at -8 cm. What is the magnification when used as a concave mirror assuming the same object distance?

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A spherical mirror is polished on both sides, so it can be used as either a concave mirror or a convex mirror.

Try to be fairly accurate with your ray diagrams. Recall that the focal length of a spherical mirror is 1/2 the radius of curvature. In these cases, the object will be at a greater distance than the radius of curvature.

[Image Description: The image has two diagrams showing a spherical mirror with a center of curvature (C) and a focal point (f). 

On the left side, the diagram depicts a concave mirror with an upright arrow (object) in front of it. The focal point (f) and the center of curvature (C) are marked on the dashed horizontal line.]

[On the right side, the diagram depicts a convex mirror with an upright arrow (object) in front of it. The focal point (f) and the center of curvature (C) are also indicated on the dashed horizontal line.]

a) Draw a ray diagram for when the mirror is in the convex position and sketch the image location.

b) Is the image real or virtual in the convex position? How do you know?

c) Draw a ray diagram for when the mirror is in the concave position and sketch the image location.

d) Is the image real or virtual in the concave position? How do you know?

e) When used as a convex mirror, the magnification is 1/4 and the image distance is located at -8 cm. What is the magnification when used as a concave mirror assuming the same object distance?
Transcribed Image Text:A spherical mirror is polished on both sides, so it can be used as either a concave mirror or a convex mirror. Try to be fairly accurate with your ray diagrams. Recall that the focal length of a spherical mirror is 1/2 the radius of curvature. In these cases, the object will be at a greater distance than the radius of curvature. [Image Description: The image has two diagrams showing a spherical mirror with a center of curvature (C) and a focal point (f). On the left side, the diagram depicts a concave mirror with an upright arrow (object) in front of it. The focal point (f) and the center of curvature (C) are marked on the dashed horizontal line.] [On the right side, the diagram depicts a convex mirror with an upright arrow (object) in front of it. The focal point (f) and the center of curvature (C) are also indicated on the dashed horizontal line.] a) Draw a ray diagram for when the mirror is in the convex position and sketch the image location. b) Is the image real or virtual in the convex position? How do you know? c) Draw a ray diagram for when the mirror is in the concave position and sketch the image location. d) Is the image real or virtual in the concave position? How do you know? e) When used as a convex mirror, the magnification is 1/4 and the image distance is located at -8 cm. What is the magnification when used as a concave mirror assuming the same object distance?
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