
Concept explainers
(a)
To Find: The object position and image position.
(a)

Explanation of Solution
Given:
The focal length of concave primary mirror,
The focal length of convexsecondary mirror,
Location of the secondary mirror with respect to primary mirror is
Formula Used:
As per Mirror formula:
Here, f is the focal length, u represents distance of the object and v represents the distance of the image.
Calculation:
The position of the object is infinity. The image position for the primary mirror can be calculated as follows:
This becomes the object distance for the secondary mirror.
Conclusion:
Thus, position of object is infinity and position of the image is
(b)
To Find: The magnification of the convex mirror and whether it inverts the image or not.
(b)

Explanation of Solution
Given:
From part (a), position of object and image are
Formula Used:
Magnification produced by a spherical mirror can be obtained by:
Here, u represents distance of the object and v represents the distance of the image.
Calculation:
Magnification produced by secondary convex mirror is:
As this is less than 1, it means that a diminished image would form. As the magnification is positive, it means that a real and erect image would be obtained.
Conclusion:
Thus, the magnification of the convex mirror is 0.33 and it would not invert the image.
Chapter 17 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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