How Does Santa See Himself in a Christmas Tree Ornament?
What happens when Santa looks at his reflection in a spherical Christmas tree ornament acting like a convex mirror?
Which one of the following statements concerning Santa's image is true?
a. The image must be real.
b. The image is farther from the ornament than Santa is.
c. The image is smaller than Santa.
d. The image is inverted.
Answer:
The image of Santa in a convex mirror is always smaller than the actual object. Therefore, Santa's image in the spherical Christmas tree ornament will be smaller than Santa himself. The correct answer is c.
Based on the given information that the spherical Christmas tree ornament acts like a convex mirror, we can determine the following:
a. The image is virtual because convex mirrors always produce virtual images.
b. The image appears closer to the ornament than Santa. Convex mirrors always produce images that are closer to the mirror than the object.
c. The image appears smaller than Santa. Convex mirrors always produce diminished or smaller images compared to the actual object.
d. The image is upright or not inverted. Convex mirrors produce upright images.
Therefore, the correct statement is c. The image is smaller than Santa.
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