Which one of the following statements is correct?

Statement 1 is correct because for a concave mirror, an object at infinity produces an image at the principal focus that is real, inverted, and highly diminished. Statement 2 is incorrect because a ray parallel to the principal axis passes through the focus of a concave mirror; it only 'appears to diverge' from the focus in a convex mirror [3]. Statement 3 is false as the radius of curvature (R) is twice the focal length (f), meaning f = R/2, or focal length is half the radius [2]. Statement 4 is incorrect because light travelling from a rarer to a denser medium bends towards the normal, not away from it [2]. The properties of image formation and the relationship R = 2f are fundamental principles of geometrical optics for spherical mirrors with small apertures [4].

Sources

1. [3] Science , class X (NCERT 2025 ed.) > Chapter 9: Light – Reflection and Refraction > 9.2.2 Representation of Images Formed by Spherical Mirrors Using Ray Diagrams > p. 138
2. [1] Science , class X (NCERT 2025 ed.) > Chapter 9: Light – Reflection and Refraction > Activity 9.2 > p. 137
3. [2] Science , class X (NCERT 2025 ed.) > Chapter 9: Light – Reflection and Refraction > What you have learnt > p. 159
4. [4] Science , class X (NCERT 2025 ed.) > Chapter 9: Light – Reflection and Refraction > 9.2.4 Mirror Formula and Magnification > p. 143