Chapter 11: Problem 14
An object initially at infinity is brought closer to the focus of a concave mirror. As the object moves in, (A) the inverted image moves closer to the focus and becomes larger. (B) the inverted image moves farther out from the focus and becomes larger. (C) the upright image moves closer to the focus and becomes larger. (D) the upright image gets farther out from the focus and becomes larger. (E) the inverted image gets farther from the focus and becomes smaller.
Short Answer
Step by step solution
Understand concave mirrors and types of images they form
Identify the movement and image properties when the object is at various distances from the mirror
Analyze the answer choices and select the correct one
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
SAT Physics Preparation
For SAT physics preparation, focus on the nature of concave mirrors: how they reflect light to form images and how changing the object distance alters image characteristics like size, orientation, and type (real or virtual). It's crucial to understand how an object moving from infinity towards the focal point of a concave mirror produces a real, inverted image that increases in size. This understanding directly applies to multiple-choice questions, where you often analyze scenarios to determine image properties.
AP Physics Review
In the context of AP physics review, dive deep into ray diagrams for concave mirrors, an important technique for visualizing image formation. Ray diagrams help in predicting where an image will appear, how large it will be, and whether it's real or virtual. Remember that a real image can be projected on a screen, inverted, and is formed when light rays actually converge, while a virtual image is upright and cannot be projected as it results from diverging rays appearing to converge behind the mirror.
Lastly, grasp the impact of varying object distances on image properties by referring to the mirror equation \( \frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i} \) and magnification formula \( m = -\frac{d_i}{d_o} \) where \(f\text{ is the focal length, }d_o\text{ is the object distance, and }d_i\text{ is the image distance.\)}
Optics and Light
Understanding how light rays converge at the focal point of a concave mirror is fundamental to mastering optics. Ray diagrams can be especially helpful to visualize this. When light rays parallel to the principal axis of a concave mirror reflect, they converge at the focal point. The position of the object relative to the mirror's focal point determines the nature of the image formed - whether it is diminished, has the same size, or is magnified and whether it is real or virtual.
Image Formation
Close to the focal point, images are virtual, upright, and enlarged, as seen in makeup mirrors. At the focal point, theoretically, no image forms as rays parallel to the principal axis reflect and meet at the focal point. By moving an object from infinity towards the mirror, the image transitions from a small, diminished point at the focal point to larger and further away from the mirror beyond the focal point.
The subtle details of image formation with concave mirrors require attention to conceptual clarity. Exercises involving moving objects and predicting image characteristics enhance your understanding and are vital practice for both classroom and standardized exams.