
Concept explainers
(a)
The distance of the image of car that is following the person.
(a)

Answer to Problem 22P
The image of the car is at
Explanation of Solution
Given info: The height of the following car is
The rear view mirror is flat plane mirror and for the case of plane mirror the object distance is same as the image distance. Therefore the image distance for the following car is same as the car itself.
Hence, the distance of the car from observer eyes as seen through the flat rear view side mirror is,
Here,
Substitute
Conclusion:
Therefore, the image of the car form the observer’s eye is at distance of
(b)
The angle subtended by the image for the observer.
(b)

Answer to Problem 22P
The angle subtended is
Explanation of Solution
Given info: The height of the following car is
Formula to calculate the angle subtended by the object,
Here,
For the case of plane mirrors the object height and image height are equal and object distance and image distance are equal. Hence, to find the angle subtended by the image of the following car
Substitute
Conclusion:
Therefore, the angle subtended is
(c)
The image distance from the observers eye if the rear view mirror is a convex mirror.
(c)

Answer to Problem 22P
The image is at
Explanation of Solution
Given info: The height of the following car is
Formula to calculate the image distance form a convex mirror for a given object is
Here,
Substitute
Negative
The image distance is negative because the image is formed behind the mirror. Therefore the image distance from the observer’s eye is,
Here,
Substitute
Conclusion:
Therefore, the image of the following car is at
(d)
The angle subtended in the image of view for the observer in the case of convex rear view mirror.
(d)

Answer to Problem 22P
The angle subtended is
Explanation of Solution
Given info: The height of the following car is
From Equation (2) formula to calculate the angle subtended by the image,
Here,
For the case of convex mirrors the object height and image height are not equal.
Formula to calculate the image height is,
Here,
Substitute
From equation (6) and equation (9) respectively, substitute
Conclusion:
Therefore, the angle subtended is
(e)
The distance of the following car based on the angle subtended by the image in the observers eye.
(e)

Answer to Problem 22P
The distance of the following car based on the angular spread in the human eye is
Explanation of Solution
Given info: The height of the following car is
Formula to calculate the angle subtended by the image,
Here,
Substitute
Conclusion:
Therefore, the image appears to be
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Chapter 26 Solutions
Principles of Physics: A Calculus-Based Text
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