For a person to see his or her complete (head-to-toe) image in a plane mirror, t
ID: 1467127 • Letter: F
Question
For a person to see his or her complete (head-to-toe) image in a plane mirror, the mirror must have a length (height) of at least one-half a person's height (see the figure below). Does the person's distance from the mirror make a difference? Explain.
No, the person's distance does not make a difference. At half the person's height, the mirror must only be able to reflect either extreme of a person's body along the normal meaning it's angle of incidence must equal or greater than it's angle of reflection in order to fit the entire reflected image.Yes, the person's distance does make a difference. The mirror must be able to reflect either extreme of a person's body along the normal meaning the person must stand at a distance less than or equal to half his or her own height in order to fit the entire reflected image. Yes, the person's distance does make a difference. The mirror must be able to reflect either extreme of a person's body along the normal meaning the person must stand at a distance greater than or equal to half his or her own height in order to fit the entire reflected image.No, the person's distance does not make a difference. The mirror must be able to reflect either extreme of a person's body along the normal meaning it's angle of incidence must equal it's angle of reflection, requiring the normal to be lie at least half the person's height in order to fit the entire reflected image.
Explanation / Answer
No, the person's distance does not make a difference. The mirror must be able to reflect either extreme of a person's body along the normal meaning it's angle of incidence must equal it's angle of reflection, requiring the normal to be lie at least half the person's height in order to fit the entire reflected image.
Understanding the solution requires an intermediate result using the law-of-reflection. When a ray of light is incident on a plane reflecting surface, the incident ray and the reflected ray will lie on the same plane.
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