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IMAGE FORMATION FOR PLANE MIRRORS

IMAGE FORMATION FOR PLANE MIRRORS. CHECK YOUR UNDERSTANDING.

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IMAGE FORMATION FOR PLANE MIRRORS

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  1. IMAGE FORMATION FOR PLANE MIRRORS

  2. CHECK YOUR UNDERSTANDING 1. Six students are arranged in front of a mirror. Their positions are shown below. The image of each student is also drawn on the diagram. Make the appropriate line of sight constructions to determine that students each individual student can see.

  3. WHAT PORTION OF A MIRROR IS REQUIRED? The diagram depicts some important information about plane mirrors. Using a cm-ruler, measure the height of the man (the vertical arrow) on the computer screen and measure the distance between points X and Y. What do you notice? The man is twice as tall as the distance between points X and Y. In other words, to view an image of yourself in a plane mirror, you will need an amount of mirror equal to one-half of your height. A 6-foot tall man needs 3-feet of mirror (positioned properly) in order to view his entire image.

  4. 2. Ben Phooled is 6-feet tall. He is the tallest person in his family. It just so happens that Ben learned the important principle of the 2:1 relationship just prior to his family's decision to purchase a mirror that was to be used by the entire family. Enthused about the recent physics lesson, Ben decided to put it to good use. Ben convinced his parents that it would be a waste of money to buy a mirror longer than 3 feet. "After all," Ben argued, "I'm the tallest person in the family and only three feet of mirror would be required to view my image." Ben's parents conceded and they purchased a 3-foot tall mirror and mounted it on the bathroom wall. Comment on the wisdom behind the Phooled family decision. 1 feet = 30.48 cm 6 feet = 182.88 cm

  5. ANSWER The Phooled family has been fooled. Unfortunately, the 3-foot mirror can be mounted in the perfect position for Ben to view his entire image. Suzie, who is 4 feet tall, may only need 2 feet of mirror to view her image. Yet the two foot section which Suzie needs extends to positions on the wall below the 3 foot section which Ben needs. Suzie's eyeball position is lower and thus she must sight at a lower position on the mirror in order to view her feet.

  6. RIGHT ANGLE MIRRORS Thus far we have focused on the images formed by a single plane mirror. Occasionally, there are optical systems that consist of two or more mirrors. One such system that is often found in homes is a pair of plane mirrors adjoined at right angles to each other. Such a system is called a right angle mirror. Perhaps you have a right angle mirror set in one of your house's bathrooms. If you have a chance to look carefully at the images formed by right angle mirrors, then you will notice that right angle mirrors produce three images. Interestingly, a single mirror produces a single image; another single mirror produces a second image; but when you put the two single mirrors together at right angles, there are three images. So why are there three images and how can the three images be compared and contrasted?

  7. The diagrams below depict the three images of a right angle mirror system. The location where a person must sight to view his image and the left-right orientation of the resulting image is shown. In each case, the object is raising his left hand.

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