Concept explainers
(a)
The location of the image graphically.
(a)
Answer to Problem 10E
The location of the image is shown in the figure below.
Explanation of Solution
Write the expression for the focal length of the convex lens.
Here,
Rearrange the above expression in terms of
Conclusion:
Substitute
Simplify the above expression in terms of
The ray diagram for the required condition is drawn below.
Here, the image distance from the lens is
Thus, the location of the image formed by the lens is shown above.
(b)
The location of the image algebraically.
(b)
Answer to Problem 10E
The location of the image is
Explanation of Solution
Write the expression for the focal length of the convex lens.
Here,
Rearrange the above expression for the image distance.
Conclusion:
Substitute
Simplify the above expression in terms of
Thus, the location of the image is
(c)
The magnification of the lens.
(c)
Answer to Problem 10E
The magnification of the lens is
Explanation of Solution
Write the expression for the focal length of the convex lens.
Here,
Rearrange the above expression for the image distance.
Write the expression for the magnification of the lens.
Here,
Conclusion:
Substitute
Simplify the above expression in terms of
Substitute
Thus, the magnification of the lens is
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Chapter 24 Solutions
General Physics, 2nd Edition
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