Concept explainers
(a)
The focal length of the lens.
(a)
Answer to Problem 14P
The focal length of the lens is
Explanation of Solution
Write the expression for magnification of image
Here,
Rearrange equation (I) to obtain an expression for
Write the expression for focal length
Here,
Thus, the expression for focal length is
Conclusion:
Substitute,
Therefore, the focal length of the lens is
(b)
The size of the image.
(b)
Answer to Problem 14P
The size of the image is
Explanation of Solution
From equation (III) the equation for
Rewrite equation (II) to obtain an expression for
Conclusion:
Substitute,
Substitute,
Therefore, the image size is
(c)
The distance at which the man should stand to obtain an image of height
(c)
Answer to Problem 14P
The distance at which the man should stand to obtain an image of height
Explanation of Solution
Consider equation (II).substitute equation (II) in equation (III) to obtain an expression for
Conclusion:
Substitute,
Therefore, the distance at which the man should stand to obtain an image of height
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Chapter 24 Solutions
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