   Chapter 25, Problem 59PE

Chapter
Section
Textbook Problem

An object 1.50 cm high is held 3.00 cm from a person’s cornea, and its reflected image is measured to be 0.16? cm high. (a) What is the magnification? (b) Where is the image? (c) Find the radius of curvature of the convex mirror formed by the cornea. (Note that this technique is used by optometrists to measure the curvature of the cornea for contact lens ?tting. The instrument used is called a keratometer, or curve measurer.)

To determine

(a)

The value of the magnification.

Explanation

Given info:

Height of the object, ho=1.50cm

Height of image, hi=0.167cm

Object distance, do=3.0cm

Formula used:

The magnification can be expressed as,

m=hiho

Here,

• hi is the height of the image.
• ho is the height of the object
To determine

(b)

The location of the image.

To determine

(c)

The radius of curvature of the convex mirror formed by the cornea.

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