   Chapter 25, Problem 58PE

Chapter
Section
Textbook Problem

A shopper standing 3.00 m from a convex security minor sees his image with a magnification of 0.250. (a) Where is his image? (b) What is the focal length of the mirror? (c) What is its radius of curvature? Explicitly show how you follow the steps in the Problem-Solving Strategy for Mirrors.

To determine

(a)

The location of the image.

Explanation

Given info:

Object distance, d0=3.00m

Magnification, m=0.250

Formula used:

The expression for the magnification is,

m=did0    ....... (1)

Here,

• d0 is the object distance.
• di is the image distance.

Calculation:

Strategies to solve the given problem are given below.

1. Collect the information given in the problem.
2. Find the distance of the image by using the expression of magnification as magnification and the distance of the object is given.
3. Use the expression of the mirror formula to calculate the focal length of the mirror.
4. Find the radius of curvature by using the relation between the focal length and the radius of curvature
To determine

(b)

The focal length of the mirror.

To determine

(c)

The radius of curvature of the mirror.

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