   Chapter 25, Problem 56PE

Chapter
Section
Textbook Problem

Find the magnification of the heater element in Example 25.9. Note that its large magnitude helps spread out the reflected energy.

To determine

The magnification of the heater element.

Explanation

Given info:

Radius of curvature of the mirror, R=50.0cm.

The image distance, di=3m.

Formula used:

Formula for radius of curvature of thin mirror is,

f=R2 .... (1)

Here,

• R is the radius of curvature.

Formula for focal length of thin mirror is,

1f=1d0+1di

Here,

• f is the focal length.
• d0 is the object distance.
• di is the image distance.

Rearranging the formula,

1d0=1f1di .... (2)

Formula for magnification is,

m=hiho=dido

Here,

• m is the magnification.
• hi is the height of the image.
• ho is the height of object.

Rearranging the above formula,

hiho=dido

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