
Concept explainers
(a)
The lens-to-film distance.
(a)

Answer to Problem 15E
The lens-to-film distance is
Explanation of Solution
Write the expression for the focal length of the lens.
Here,
Rearrange the above expression for the image distance.
Conclusion:
Substitute
Simplify the above expression for the image distance.
Thus, the lens-to-film distance is
(b)
The linear magnification of the lens.
(b)

Answer to Problem 15E
The linear magnification of the lens is
Explanation of Solution
Write the expression for the focal length of the 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 for the image distance.
Substitute
Thus, the linear magnification of the lens is
(c)
The maximum height of the person.
(c)

Answer to Problem 15E
The maximum height of the person is
Explanation of Solution
Write the expression for the focal length of the lens.
Here,
Rearrange the above expression for the image distance.
Write the expression for the magnification of the lens.
Here,
Write the expression for the magnification of the lens.
Here,
Conclusion:
Substitute
Simplify the above expression for the image distance.
Substitute
Substitute
Simplify the above expression for the object height.
Thus, the maximum height of the person is
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Chapter 24 Solutions
General Physics, 2nd Edition
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