The correct option is
1 and 3 only
.Explanation
Image formation by a concave mirror depends on the position of the object relative to the mirror's pole (P), principal focus (F), and centre of curvature (C). Real images formed by concave mirrors are inverted and can be magnified or diminished depending on the object's distance.
Statement-wise Analysis:
- Statement 1 is Correct: When an object is placed beyond the centre of curvature (C), the reflected rays converge to form an image between the principal focus (F) and the centre of curvature (C). This image is real, inverted, and diminished in size.
- Statement 2 is Incorrect: When an object is placed exactly at the centre of curvature (C), the image is formed at the centre of curvature (C) itself, not at the principal focus. The image is real, inverted, and of the same size as the object. An image is formed at the principal focus (F) only when the object is located at infinity.
- Statement 3 is Correct: When an object is placed between the centre of curvature (C) and the principal focus (F), the image is formed beyond the centre of curvature (C). This image is real, inverted, and enlarged (magnified).
Key Takeaway:
For a concave mirror, as a real object moves from infinity towards the focus, the real image moves away from the focus towards infinity and increases in size. At the centre of curvature, the object and image coincide in position and size.