Concept explainers
(a)
If the image is real or virtual.
(a)
Answer to Problem 75P
The image is virtual.
Explanation of Solution
Write the magnification formula.
Here,
Conclusion:
As the image is large, the magnification is positive. This implies
Thus, the image is virtual.
(b)
The focal length of the mirror and if the mirror is concave or convex.
(b)
Answer to Problem 75P
The focal length of the mirror is
Explanation of Solution
Write the focal length from the mirror formula and substitute
Here,
Conclusion:
Substitute
As the focal length is positive, the mirror is a concave mirror.
Thus, the focal length of the mirror is
(c)
If the image gets larger or smaller if the mirror is moved closer to the tooth.
(c)
Answer to Problem 75P
If the mirror is moved closer to the tooth, the image gets smaller.
Explanation of Solution
Write the mirror equation.
Divide the equation throughout with
Substitute
Conclusion:
If the mirror is moved closer to the tooth, the value of
Thus, if the mirror is moved closer to the tooth, the image gets smaller.
(d)
The range of object distance where the image is upright.
(d)
Answer to Problem 75P
The range of object distance where the image is upright is
Explanation of Solution
Write the equation for magnification in terms of
Conclusion:
For the image to be upright, the magnification must be greater than one,
Thus, the range of object distance where the image is upright is
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