Plane mirror: Jack 2.5 ft away. Distance from Jack to his image?
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A
2.5 ft
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B
3 ft
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C
4.5 ft
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D
5 ft
The distance from Jack to his image is 5 feet.
For a plane mirror, the image formed appears the same distance behind the mirror as the object is in front of it. This symmetry means the mirror lies exactly halfway between the object and its image.
A) 2.5 ft
This distance represents how far Jack is from the mirror itself. It does not account for the distance from the mirror to the image behind it.
B) 3 ft
This value does not correspond to any correct mirror-distance relationship and results from an arbitrary addition.
C) 4.5 ft
This option also reflects an incorrect calculation and does not follow the rule that object distance equals image distance in a plane mirror.
D) 5 ft
Jack stands 2.5 ft in front of the mirror, and his image appears 2.5 ft behind the mirror. Adding these distances gives the total separation between Jack and his image: 2.5 ft + 2.5 ft = 5 ft.
Conclusion
In a plane mirror, the image is as far behind the mirror as the object is in front. Therefore, the distance from Jack to his image is 5 feet.
Topic Flashcards
Click to FlipWhat are the three main characteristics of an image formed by a plane mirror (type, orientation, and size)?
The image is virtual, upright (same orientation as the object), and the same size as the object.
In a plane mirror, what is the relationship between the object's distance from the mirror and the image's apparent distance behind the mirror?
They are equal. If an object is d units in front, the virtual image appears d units behind the mirror.
Why is the image in a plane mirror described as "laterally inverted"?
Because it shows a left-right reversal. Your mirror image raises its left hand when you raise your right hand, for example.
If you walk toward a plane mirror at a speed of 1 m/s, how fast does your image appear to approach you?
2 m/s. You move toward the mirror at 1 m/s, and your image also moves toward the mirror (from behind it) at 1 m/s. The relative speed between you and your image is therefore 2 m/s.
What is the minimum height a vertical plane mirror must be for a person to see their full-length image from head to toe, and where must the top of this mirror be placed? (Assume the person's height is H and their eye level is at a height h from the ground).
The minimum height is H/2. The top of the mirror must be placed halfway between the person's eye level and the top of their head, and the bottom must be placed halfway between their eye level and their feet.