An object placed 10.0 cm from a concave spherical mirror produces a real image 8.00 cm from the mirror. If the object is moved to a new position 20.0 cm from the minor, what is the position of the image? Is the final image real or virtual?

College Physics

11th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305952300

Chapter
Section

College Physics

11th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305952300
Chapter 23, Problem 47AP
Textbook Problem
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An object placed 10.0 cm from a concave spherical mirror produces a real image 8.00 cm from the mirror. If the object is moved to a new position 20.0 cm from the minor, what is the position of the image? Is the final image real or virtual?

To determine
The position of the final image and the characteristics of the image.

Explanation of Solution

Given info:

The initial object distance is +10.0â€‰cm .

The final object distance is +20.0â€‰cm .

The initial image position is +8.00â€‰cm .

Explanation:

Formula to calculate the focal length of the mirror is,

f=1(1p+1q)

• f is the focal length
• q is the image distance
• p is the object distance

Substitute 10.0â€‰cm for p and 8.00â€‰cm for q to find f .

f=1(110.0â€‰cm+18.00â€‰c.m)=4

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