Question

which of the following statements about a curved mirror is correct? a. the pole of a curved mirror is at the center of its reflecting surface. b. a converging mirror diverges parallel rays from a point call real focus. c. a curved mirror converges parallel rays to a point called virtual focus. d. the focal length of a spherical mirror is twice the radius of curvature.

Explanation:

• For option B: A converging (concave) mirror converges parallel rays to a real focus, not diverge. So B is incorrect.
• For option C: A concave (converging) mirror converges parallel rays to a real focus, and a convex (diverging) mirror diverges parallel rays and the focus is virtual. The statement is too general as not all curved mirrors converge parallel rays. So C is incorrect.
• For option D: The focal length (\(f\)) of a spherical mirror is half the radius of curvature (\(R\)), i.e., \(f=\frac{R}{2}\), not twice. So D is incorrect.
• For option A: The pole (or vertex) of a curved mirror is indeed at the center of its reflecting surface. So A is correct.

Answer:

A. The pole of a curved mirror is at the center of its reflecting surface.