The correct option is A is false but R is true
Explanation
Spherical mirrors are categorized based on their interaction with light rays. A convex mirror is a spherical mirror whose reflecting surface is curved outwards, acting as a diverging mirror.
Statement-wise Analysis:
- Assertion (A) is Incorrect. Rays of light parallel to the principal axis of a convex mirror do not converge to a point in front of the mirror. Instead, upon reflection, these rays diverge (spread out). To an observer, these diverging rays appear to originate from a single point behind the mirror.
- Reason (R) is Correct. The principal focus of a convex mirror is the point on the principal axis where rays parallel to the axis appear to meet after reflection. Geometrically, because the mirror curves outward, this focal point is located behind the reflecting surface. Consequently, the focus is virtual rather than real.
Key Takeaway: Concave mirrors converge parallel rays to a real focus in front of the mirror, whereas convex mirrors diverge parallel rays, making them appear to originate from a virtual focus behind the mirror.