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Forming Images with a Plane Mirror

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The rear window in a car is approximately a rectangle, 1.3 m wide and 0.30 m high. The inside rear-view mirror is 0.47 m from the driver's eyes, and 1.68 m from the rear window. What are the minimum dimensions for the rear-view mirror if the driver is to be able to see the entire width and height of the rear window in the mirror without moving her head?

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Solution Summary

Simple problem of image formation by a plane mirror.

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SOLUTION

Normally the rear view mirror is at a higher level than the eye level of the driver. However, as no information is given regarding the level of the mirror, we assume the mirror is at the level of the eyes. The ray diagram is drawn below :

C

Rear ...

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