### Correct Option: C. Between the focus and the center of curvature ### Detailed Explanation: To understand where the image will be formed when an object is placed beyond the center of curvature of a concave mirror, we need to consider the properties of concave mirrors and how they form images. 1. **Understanding Concave Mirrors**: - A concave mirror is a spherical mirror that curves inward, resembling a portion of the interior of a sphere. - The **center of curvature (C)** is the center of the sphere from which the mirror is a part. - The **focal point (F)** is the point where parallel rays of light either converge (for concave mirrors) or appear to diverge from (for convex mirrors). For concave mirrors, the focal point is located halfway between the center of curvature and the mirror's surface. 2. **Ray Diagrams**: - To analyze image formation, we can use ray diagrams. When light rays from an object strike the concave mirror, they reflect according to the law of reflection (the angle of incidence equals the angle of reflection). - For an object placed beyond the center of curvature: - **Ray 1**: A ray parallel to the principal axis reflects through the focal point. - **Ray 2**: A ray passing through the focal point reflects parallel to the principal axis. - **Ray 3**: A ray directed towards the center of curvature reflects back on itself. The intersection of these reflected rays will determine the location of the image. 3. **Image Characteristics**: - When the object is placed beyond the center of curvature, the image formed is: - **Real**: The rays actually converge at a point. - **Inverted**: The image is upside down compared to the object. - **Reduced in size**: The image is smaller than the object. - **Location**: The image is formed between the focal point (F) and the center of curvature (C). ### Why Other Options Are Incorrect: - **A. At the focus**: This option is incorrect because the image is not formed at the focal point when the object is beyond the center of curvature. The focal point is where light rays converge when they are parallel to the principal axis, not where the image of an object beyond C is formed. - **B. At the center of curvature**: This option is also incorrect. While an object placed at the center of curvature will produce an image at the same location (C), when the object is beyond C, the image will not be formed at C but rather between F and C. - **D. Behind the mirror**: This option is incorrect because a concave mirror cannot form a real image behind the mirror when the object is placed beyond the center of curvature. Images formed behind the mirror are virtual and occur only when the object is placed between the focal point and the mirror. ### Summary of Key Points: - A concave mirror reflects light rays to converge at a focal point. - When an object is placed beyond the center of curvature, the image is formed between the focal point and the center of curvature. - The image is real, inverted, and smaller than the object. - Understanding ray diagrams is crucial for visualizing image formation in concave mirrors. This thorough understanding of concave mirrors and their image formation will help you tackle similar questions in your physics exams effectively!