Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A convex mirror at the exit of a car park has a radius of curvature of . A van of height stands from the mirror. Find the position of the image, the magnification and the height of the image. Explain why drivers like this mirror.
For a spherical mirror in the New Cartesian convention, with , and the magnification is . A real object has . A concave mirror has , and a convex mirror has . A positive means a virtual image behind the mirror.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. , so . The object distance is and the height of the van is .
Step 1. The image distance. .
Step 2. The magnification. .
Step 3. The height. .
Answer: The image is behind the mirror, virtual and upright, times the size, and tall.
Why drivers like it. The whole van, and a wide stretch of road beside it, fit into a small mirror. The image is small, and it always lies between the pole and the focus. The cost is that the van looks far away, so drivers must judge the distance with care.
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