The side view mirror in a car is a convex mirror. The radius of curvature of the mirror is 6 m. The car is 18m behind you. What is the height of a 1.5 m high vehicle would appear to you when you see its image on the mirror? Draw a ray diagram to show the image formation.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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The side view mirror in a car is a convex mirror. The radius of curvature of the mirror is 6 m. The car is 18m behind you. What is the height of a 1.5 m high vehicle would appear to you when you see its image on the mirror? Draw a ray diagram to show the image formation.

 
Expert Solution
Step 1

Given information:

Physics homework question answer, step 1, image 1

Here, R is curvature’s radius of the convex mirror, u is the object distance and ho is the object’s (vehicle) height.

The standard sign convention is used.

Consider the diagram below.

Physics homework question answer, step 1, image 2

Step 2

Write the radius of curvature (R) and focal length (f) relation and plug the required values to determine the focal length.

Physics homework question answer, step 2, image 1

Write the mirror formula and plug the required values to determine the image’s distance (v).

Physics homework question answer, step 2, image 2

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