As in the previous problem, an object initially at infinity is brought through the focus of a concave mirror. As the object is moved, (A) a real, inverted image becomes an upright, virtual image on the object side of the mirror. (B) a real, inverted image becomes an upright, real image on the object side of the mirror. (C) an upright, virtual image on the object side of the mirror becomes an upright, virtual image behind the mirror. (D) a virtual, inverted image on the object side of the mirror becomes an upright, virtual image behind the mirror. (E) a real, inverted image becomes an upright, virtual image and appears behind the mirror.

Short Answer

Expert verified
Answer: A real, inverted image becomes an upright, virtual image on the object side of the mirror.

Step by step solution

01

Concave Mirror Properties

A concave mirror has the following properties: 1. When an object is between the mirror and the focus, the image formed is virtual, erect, and magnified. 2. When an object is at the focus, the image is formed at infinity and is real, inverted, and highly enlarged. 3. When an object is between the focus and the center of curvature, the image formed is real, inverted, and magnified. 4. When an object is at the center of curvature, the image formed is real, inverted, and of the same size as the object. 5. When an object is beyond the center of curvature, the image formed is real, inverted, and diminished. Now, let's analyze the situation when the object is initially at infinity and is brought through the focus.
02

Object Initially at Infinity

When the object is initially at infinity, the image formed by the concave mirror is at the focus, which is real, inverted, and highly diminished.
03

Object Moving Through the Focus

As the object moves from infinity towards the mirror, it passes through the positions of being beyond the center of curvature, at the center of curvature, between the focus and the center of curvature, and then finally to the position between the mirror and the focus. As discussed in the properties above, when the object moves from infinity to the position between the mirror and the focus, the image formed transits from a real inverted, highly diminished one to a virtual, erect, and magnified one. From the given options, (A) states: "a real, inverted image becomes an upright, virtual image on the object side of the mirror."
04

Conclusion

Therefore, the correct answer to this problem is (A). When an object initially at infinity is brought through the focus of a concave mirror, a real, inverted image becomes an upright, virtual image on the object side of the mirror.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Physics SAT Preparation
Preparing for the Physics SAT involves developing a good understanding of fundamental concepts. Concave mirrors are a topic frequently tested, as they appear under the general category of optics. To excel, it is important to remember the key properties of concave mirrors and their image formation. These properties include knowing where an image will appear, whether it's real or virtual, and if it's upright or inverted, depending on the position of the object in relation to the mirror's focal point. The exercise given is a classic example highlighting these principles, and understanding the logic behind the answer can improve your problem-solving skills significantly. Familiarity with the behavior of light in concave mirrors, as well as practice in predicting image characteristics, will be advantageous in the SAT Physics subject test.
AP Physics Review
For the AP Physics exam, a detailed review of optics, particularly mirror equations and ray diagrams, is essential. The problem provided emphasizes the dynamic nature of image formation by a concave mirror as the object moves. The step-by-step solution offered progresses through understanding the changes in image characteristics such as orientation, type, and size. To truly grasp this concept for the AP Physics exam, it's beneficial to draw ray diagrams for different object positions and observe the image transformations. Not only does this approach aid in visualizing the problem, but it also solidifies your understanding of the principles governing concave mirrors.
Optics and Mirrors
Optics is a crucial branch of physics, and mirrors - especially concave mirrors - are an integral part of optics. A concave mirror is a spherical mirror that curves inward, resembling a portion of the interior of a sphere. Its ability to converge light makes it unique and useful for various applications, from telescopes to shaving mirrors.

When studying concave mirrors, it's necessary to remember that the object's position relative to the mirror's focal point dictates the nature of the image formed. As demonstrated in the textbook solution, the transition from real to virtual images (or vice versa) can be understood by analyzing the path of light and its reflection on the mirror's surface. A thorough comprehension of these concepts will significantly aid students in their exploration of optics and mirrors in physics.
Image Characteristics
Image characteristics include size (magnified, diminished or same size as the object), orientation (upright or inverted), and type (real or virtual). A real image is formed by actual light rays converging and can be projected onto a screen, whereas a virtual image is formed by apparent divergence of light rays and cannot be projected.

In the case of our textbook exercise, the relationship between object distance and image characteristics can clearly be seen. As the object moves from infinity towards the focus, image characteristics transition dramatically. It's of paramount importance to be proficient in identifying these relationships to excel in studies of optics. Exercises like this on image formation not only test your understanding of these concepts but also strengthen your analytical skills.

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Most popular questions from this chapter

An object initially at the focus of a concave mirror is brought closer to the mirror. As the object is moved toward the mirror's surface, (A) the image gets larger until it is of infinite size when the object reaches the mirror surface. (B) the image gets smaller until it is twice the object size when the object reaches the mirror surface. (C) the image gets smaller until it becomes equal to the object size when the object reaches the mirror surface. (D) the image gets larger until it is twice the object size when the object reaches the mirror surface. (E) the image stays the same size.

A beam of light in glass \(\left(n_1=1.5\right)\) strikes an interface with water \(\left(n_2=4 / 3\right)\). The critical angle at which total internal reflection takes place is most nearly (A) \(0^{\circ}\) (B) \(48.6^{\circ}\) (C) \(62.7^{\circ}\) (D) \(90^{\circ}\) (E) Total internal reflection cannot take place

A beam of unpolarized light is passed through two polarizers. If the polarization axis of the second polarizer is crossed at an angle of \(90^{\circ}\) with respect to the axis of the first polarizer, then the intensity of light seen by someone located to the right of the second polarizer is (A) the intensity of the original light. (B) one-half the intensity of the original light. (C) one-quarter the intensity of the original light. (D) one-eighth the intensity of the original light. (E) zero.

An object is placed outside the focus of a diverging lens, as shown below. The image produced is (A) virtual, upright, on the object side of the lens (B) virtual, upright, on the opposite side of the lens from the object (C) virtual, inverted, on the opposite side of the lens from the object (D) real, inverted, on the object side of the lens (E) no image is formed

At what distance \(d_o\) should an object be placed in front of a converging lens such that the image is at the same distance on the other side of the lens? (A) \(d_o=f\) (B) \(d_o=\infty\) (C) \(d_o=f / 2\) (D) \(d_o=2 f\) (E) It cannot be done

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