Concept explainers
a.
The kind of mirror required by a production-line inspector to have a magnification of
a.
Answer to Problem 88A
Concave mirror
Explanation of Solution
Given:
An upright image is formed whose magnification is 7.5. Image is located at a distance of 14 mm from machine part.
A concave mirror always forms a real and inverted image of the object except for the case when the object lies within the focal length of the mirror. For this case, the image formed is magnified and is a virtual and upright one. Whereas the convex mirror always forms a upright, virtual but diminished image of the object.
Since the image formed needed by the production-line inspector is upright and should have a magnification of
Conclusion:
Therefore, a concave mirror is needed by the production-line inspector for the given case.
b.
The radius of the curvature of the mirror.
b.
Answer to Problem 88A
Explanation of Solution
Given:
The required magnification,
Formula used:
Mirror equation,
Where,
And,
Magnification,
Where,
The relation between the radius of curvature of mirror
Calculation:
Using the magnification formula, the image distance will be,
Using the above and given values in Mirror equation, the focal length will be,
Then, the radius of curvature of the concave mirror will be,
Conclusion:
Therefore, the radius of curvature of the concave mirror is
Chapter 17 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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