If the focal length of a spherical mirror increases to double, their the radius of curvature of the mirror will:

Correct option is A

The correct answer is (A) increase to double.

• Relationship Between the Focal Length and the Radius of Curvature
• We are able to quickly establish the relationship thanks to the figure's geometry.
• f = R/2
• Convex mirrors can also be described in terms of this relationship.
• It is assumed that the mirror's aperture is relatively small in this relationship.
• The radius of curvature is twice as long as the focal length when spherical mirrors with small apertures are used.
• Consequently, R = 2f.
• We can confidently assert that the center of a spherical mirror, between the pole and the center of curvature, is the primary focus.
• A spherical mirror is a mirror with a reflecting surface that is part of a hollow glass sphere. One side of the mirror is polished and reflective, while the other side is opaque. There are two types of spherical mirrors: convex and concave. A concave mirror has an inward reflecting surface, and the images it forms can be real or virtual.