Concept explainers
(a)
The distance of the object from the mirror.
(a)
Answer to Problem 46PQ
The distance of the object from the mirror is
Explanation of Solution
Write the equation for the mirror.
Here,
Rewrite the above expression for
Write the equation for magnification produced by the mirror and find
Here,
Conclusion:
Substitute
Substitute
Therefore, the distance of the object from the mirror is
(b)
Whether the image formed by the mirror is real or virtual.
(b)
Answer to Problem 46PQ
The image distance from the mirror is negative, so the image formed by the mirror is virtual.
Explanation of Solution
Consider equation (III) for the image distance.
Conclusion:
Substitute
Therefore, the image formed at the distance of
(c)
A ray diagram for showing the locations of the object and image.
(c)
Answer to Problem 46PQ
Ray diagram of the object and the image location is shown in the following figure using three rays.
Explanation of Solution
Ray 1 will pass from the top of the object through the vertex of the mirror and reflected opposite to the object position.
Ray 2 will pass from the bottom of the object and reflected back from the mirror on itself.
Ray 3 will pass from the top of the object, which is parallel to the principle axis and reflected through the mirror from the focal point.
The image formed will be virtual and upright.
Therefore, the ray diagram of the object and the image location is shown in figure 1 using three rays.
Figure (1)
Want to see more full solutions like this?
Chapter 37 Solutions
Physics for Scientists and Engineers: Foundations and Connections, Advance Edition, Volume 2
- (a) A concave spherical mirror forms an inverted image 4.00 times larger than the object. Assuming the distance between object and image is 0.600 m, find the focal length of the minor, (b) What If? Suppose the mirror is convex. The distance between the image and the object is the same as in part (a), but the image is 0.500 the size of the object. Determine the focal length of the mirror.arrow_forwardA concave mirror has a radius of curvature of 60.0 cm. Calculate the image position and magnification of an object placed in front of the mirror at distances of (a) 90.0 cm and (b) 20.0 cm. (c) Draw ray diagrams to obtain the image characteristics in each case.arrow_forwardYou are looking for a mirror so that you can see a four- fold magnified virtual image of an object when the object is placed 5 cm from the vertex of the mirror. What kind of mirror you will need? What should be the radius of curvature of the mirror?arrow_forward
- A shopper standing 3.00 m from a convex security mirror sees his image with a magnification of 0.250. (a) Were is his image? (b) What is the focal length of the minor? (c) What is its radius of curvature?arrow_forwardA concave spherical mirror has a radius of curvature of magnitude 24.0 cm. (a) Determine the object position for which the resulting image is upright and larger than the object by a factor of 3.00. (b) Draw a ray diagram to determine the position of the image. (c) Is the image real or virtual?arrow_forwardA dentist uses a spherical mirror to examine a tooth. The tooth is 1.00 cm in front of the mirror, and the image is formed 10.0 cm behind the mirror. Determine (a) the mirrors radius of curvature and (b) the magnification of the image.arrow_forward
- The image formed by a convex spherical mirror with a focal length of magnitude 12.0 cm is located one-fourth of the object-mirror distance from the mirror. a. What is the distance of the object from the mirror? b. Is the image formed by the mirror upright or inverted? c. What is the magnification of this image?arrow_forwardAn object 10.0 cm tall is placed at the zero mark of a meterstick. A spherical mirror located at some point on the meterstick creates an image of the object that is upright, 4.00 cm tall, and located at the 42.0-cm mark of the meterstick. (a) Is the mirror convex or concave? (b) Where is the mirror? (c) What is the mirrors local length?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning