Concept explainers
(a)
Focal length of each lens.
(a)
Answer to Problem 71P
The focal length of each lens is
Explanation of Solution
Write an expression for the focal length of each lens.
Here,
Conclusion:
Substitute
Thus, the focal length of each lens is
(b)
The type of lens.
(b)
Answer to Problem 71P
The lenses are converging.
Explanation of Solution
Lenses can be categorized in to two. The categorization of lenses is based on the sign of focal length of the lens. Types of lenses according to the focal length are converging and diverging.
Converging lenses have positive focal length. Diverging lenses have negative focal length. Here, the lenses have positive focal length. Thus, the lenses are converging.
(c)
The image distance.
(c)
Answer to Problem 71P
The image is formed
Explanation of Solution
Write an expression for the image distance.
Here,
Conclusion:
Substitute
Thus, the image is formed
(d)
Size of image relative to the size of object.
(d)
Answer to Problem 71P
The size of the image is 5 times larger than the object.
Explanation of Solution
Size of image relative to the size of object is given by the magnification of the lens.
Write an expression for the magnification of the lens.
Here,
Conclusion:
Substitute
Thus, the size of the image is 5 times larger than the object.
(e)
The characteristics of image.
(e)
Answer to Problem 71P
The image is upright.
Explanation of Solution
Write an expression for the magnification
Here,
If the magnification is positive, the image is upright. If the magnification is negative, the image is inverted. Here, the magnification is positive. Thus, the image is upright.
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